1. Determine the domain of the function f(x) x-2 (a) all real numbers (b) all real numbers except x=-2 (c) all real numbers except x=2 and x=-2 (d) all real numbers except x=2 (e) none of these

Q: Let f(x) = √(x - 3) and g(x) = √(x + 1). Find the domain of f + g.

A: f(x) = √(x - 3)  and  g(x) = √(x + 1)   (f + g)(x) = f(x) + g(x)                = √(x - 3)  +  √(x +…

Q: The domain of the function f (x) = x/x - 2 consists of all x ∙ 2.

A: We have to find domain of the function fx=xx-2 We can see this function is defined for all real…

Q: How might you restrict the domain of f(x) = x2, graphed in Figure 1.71, so that the remaining…

A: Given that, f(x)=x2 We have to Find How to restrict the domain of f(x)=x2  So that the remaining…

Q: Let f and g be the functions from the set of integers to the set of integers defined by f (x) = 2x +…

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Q: Find all points of intersection between the graphs of the functions f(x) = (x + 5)(x-4) and g(x) = x…

A: Explanation of the answer is as follows

Q: Find the domain of the function f(x) = /2x – 3 - In interval form, the domain of f is

A: here function is given in form of square root this can't be negative so the value inside is positive…

Q: 7. Suppose f(r) is a function that satisfies the equation 5f (-) + f(x) – x = 3 for all non-zero…

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Q: 20. Determine algebraically whether the function 5x f(x) = x - 9 is even, odd, or neither.

A: Given f(x)=5xx2-9 If f(-x)=-f(x), then the function is said to be odd function. If f(-x)=f(x), then…

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = 5 - x,    g(x) = x2 - 3x

A: Given, f(x)=5-x  and g(x)=x2-3x To find  f+g, f-g, fg, f/g.

Q: What are the points of intersection of the graphs of the functions f(x) = - 3x + 2 and g(x) = x2 -…

A: At the point of intersection of two graphs, the value of both the function is equal. So, equate f(x)…

Q: 6. Let g(x) Find the domain of g(x). x-4' 2x2-3x+7 7. Let f(x) = Find f(3),

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Q: Find the domain of the function : g(x) =1/(x2 + 1) - 1/(x2 - 1).

A: The domain of  rational function is the set of all real numbers except those for which the…

Q: 4. Select all the true statements about the end behavior of the function f(x) = -x*-5x .4 + 5x +3.…

A: Given :

Q: If ƒ and g are real-valued functions, how are the domains of ƒ + g, ƒ - g, ƒg, and ƒ>g related to…

A: Take f:D1→ℝ and g:D2→ℝ. Then, the operation f+g is only possible when the domain is D1∩D2. That is…

Q: Use the Intermediate Value Theorem to show that the graph of f (x) = 2* – x² intersects the line y =…

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Q: Let f be a function that is positive and differentiable on the entire real number line and let g(x)…

A: Consider the given information, gx=lnfx First, we differentiate gx for checking gx is increasing or…

Q: Consider the function f(x) = 2x° + 9x- 108x + 3, - 6 < x < 4. This function has an absolute minimum…

A: f(x) = 2x3+9x2-108x+3f'(x) = 6x2+18x-108f'(x) = 0 6x2+18x-108=0 x2+3x-18=0(x+6)(x-3)=0x=-6,3 where 3…

Q: 11. Determine if the function 8(x)=,* 1 1 x²+x is either even, odd, or 4. neither (even nor odd).…

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Q: If f(x) is an even function defined on the interval [-5,5], Then find - X+1 the real values of x…

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Q: Please

A: Denominator can never be 0 Because anything divided by 0 is not defined.

Q: Find the maximum or minimum value of the function.

A: Given fx=3-x-12x2

Q: Consider the following. X - 3 f(x) = x2 - 9 (a) State the domain of the function. all real numbers x…

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Q: Let f(x)= 2/x-3. Let g(x)= 5/x+2. Find the domain of f/g

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Q: 8. Find f-1 of the one-to-one function f (x) =and state the domain and the range of f and f-1. x-3

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Q: 3 Sketch a graph of the function f(x) = ax(x + 3)°(x – 1) , for some positive constant a. -

A: Given, f(x)=ax(x+3)3(x-1)2 To sketch the graph of the given function f(x). The given function is not…

Q: Suppose the function f has a domain set of all real numbers. Given below is the graph of f(x). f'(x)…

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Q: 3. Show algebraically that the function f (x) x* – - 2x + 5 has even, odd or neither symmetry.

A: To find out that the function has even, odd or neither of these symmetry.

Q: A function f is ________ on an interval when, for any x1 and x2 in the interval, x1 &lt; x2 implies…

A: To fill: The blank of the statement. Given: The statement is "A function f is ________ on an…

Q: List the x-values in the graph at which the function is not differentiable. 2 3. x = 0, x = 3 X = 3…

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Q: What is the domain for the function t(x)= - +1? x-4 all real numbers except 4 all real numbers…

A: tx=-1x-4+1 Domain is the set of all real numbers for which denominator is non-zero. That is,…

Q: 15. Test algebraically whether the function is EVEN, ODD, or NEITHER. a) f(x) = 5 + In]x| b) f(x) =…

A: To check whether a function is even. Odd or neither of two

Q: 4. Test algebraically whether or not the functions are even, odd, or neither. SHOW WORK! A.) f(x) =…

A: Our objective is to check algebraically whether the functions are even, odd, or neither.

Q: Let f1(x) and f2(x) be functions from the set of real numbers to the set of positive real numbers.…

A: Big-O Notation:Definition: Let f and g be functions from the set of integers or the set of real…

Q: Find the Domain of f-1, if f(x) = 2(x – 7)² Domain: y is all real numbers Domain: x > 0 Domain: y >…

A: The range of a function f(x) is the domain of the inverse function f-1(x). The domain of f(x) is the…

Q: let f(x) = x-5 / x2+x -12 and g(x)= x+3 / 3x+12 find an equation of the funtion f-g

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Q: Let f(x) = √20- x and g(x) = x² - x. Then the domain of fo g is equal to

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Q: The domain of the function f(x)=x+7/x-5 is all real numbers except x=5. Express the domain in…

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Q: Sketch the graph of the function f(x) = x³ – 2x² – 5x + 6 using calculus – based analysis. -

A: Given problem:- Sketch the graph of the function f(x) = x3 – 2x2 − 5x + - 6 using calculus - based…

Q: Consider the function f(x) = 2x + 21x- 108x + 4, - 9 < x < 3. This function has an absolute minimum…

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Q: 12-Sketch the function. · F(x)= - (x-1)(x+3)(x-7)

A: Topic:- function

Q: Find f+ g, f- g, fg, and f/g and their domains. f(x) = 3 - x2, g(x) = x2 - 4

A: fx=3-x2, gx=x2-41 f+gx=fx+gx2 f-gx=fx-gx3fgx=fx.gx4fgx=fxgx

Q: let f(x)=-2x^2-x, and let g(x)=f(x)-f(-1)/x+1, x not equal to -1. find g(10).

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Q: 1. For the function f(x)= Vx-2 x-5 a. Evaluate f(2).{ 2-2 b. Evaluate f(0). 2-5 c. Find the domain…

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Q: defined by f(x) = (x-5)^2 - 20 for all real numbers x. What is the range of f ?

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Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = 3 - x2,    g(x) = x2 - 4

A: Given f(x) = 3 - x2,    g(x) = x2 - 4 To find  f + g, f - g, fg, and f/g and their domains.

Q: 9 Determine the domain of the function f(x) 5 - Domain (in interval notation):

A: Solve for the domain

Q: Consider the functions f(x)=2(x-3)2-4 and g(x)=-2(x-3)2-4. For the function f(x)=a(x-h)2+k, make a…

A: For the function f(x)=a(x-h)2+k   This form of a quadratic is useful when graphing because the…

Q: ) Find the domain and range of the x² -9x+20 function f(x) = Express with x-5 interval notation,…

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Q: 1- Determine algebraically whether the function F(x)=(x²+ 3] (x'-2x)*is even, odd, or neither?

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Q: 49 The domain of the function f(x) is all real numbers x except for z where x equals 10x – 20 -

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.