The table gives some values of functions f and g. Write an equation that could be true for all values of g(x) in terms of f(x). x f(x) g(x) -24 1 4 1 2 1 |-1 2 0 1 1 1 2 2 1 2 4 4

Q: Find the horizontal intercepts of the function f(x)=3|x−3|−7

A: Horizontal intercept:  The place where the graph of y=f(x)  meets the x axis.

Q: If g(x) = 3x - 2, then the value of g(2x + 4) is . Show your work here:

A:

Q: Let h(x) = f(x)g(æ). If f(x) -3x? – 4x + 2 and g(x) = -x² + 3x +2, what is h' (-1)? Do not include…

A: Given, h(x) = f(x)g(x) f(x) = -3x2 - 4x +2 g(x) = -x2 +3x +2  We have to find h'(-1)

Q: Find the domain of the function f(x) = (x+4)/(x2-9)

A:

Q: The function f(x), shown as a dashed line, is translated to h(x) = f(x) +k, shown on the graph as a…

A: Consider the given graph :

Q: Describe the end behavior of the function f(x)= √7x

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Q: F(x)= 2x+1 , G(x)= x^2-9 What is the domain of f/g ?

A:

Q: Define f(x) = 2 – 3x? What is the domain of this function? (-00, 2) (-00, 2] [-3, 0) (-x0, 0) [0, 0)

A:

Q: f(x) = x + 5, g(x) = x - 4 Find (f + g)(-4).

A:

Q: 2.x -3 Find the range of the function f (x) =- 4x+5

A: Here the given function is ,                                           fx = 2x-34x+5 It can be…

Q: Vx-2 +2 x² - 9 What is the domain of the function f(x)= A) (2,3) U (3,0) B none of the given choices

A: we have to solve the problem

Q: The function f (x) = x4 +x2 +x is an evenfunction. Justify your answer.

A: fx=x4+x2+x A function fx is said to be an even function if f-x=fx.

Q: x-1 The Domain of the function f(x) = is x²-4

A:

Q: The function g is defined as g (x)=2x² +4x. Find g (x-6). Write your answer without parentheses, and…

A:

Q: Which statement about the function f(x)=-x2 is true? A The function is odd. B The domain of the…

A: Domain of function f(x) is the set of value of x for which f(x) is defined. Range is value the…

Q: Specify the domain of the function f(x)= √3x+12.   The domain of f(x) is x

A: For function f(x), domain is the set of value of x for which f(x) is defined.For example,…

Q: Given the definitions of f (x) and g(æ) below, find the value of g(f(0)). f (x) = x² + 7x - 12 g(x)…

A:

Q: x²-4x+3 f(x) = x2-1

A:

Q: The domain of the function f(x) = 3* – 4 is (Type your answer in interval notation.) The range of…

A:

Q: f (x) =x+1 g(x) = 2x- 2 Write the expressions for (f+g)(x) and (f-g)(x) and evaluate (fg) (-1).

A: Given two functions are f(x) =x+1,   g(x) = 2x-2. To find the value of  f+gx we have to add two…

Q: f(x)= { x^2-1, x less than or equal to 32ax-4, x>3Find values of a for f (x) to be a…

A: Since function f(x) is continuous.Therefore it is continuous at every point and also at x=3

Q: Given the definitions of f (x) and g(x) below, find the value of (go f)(-1). f (x) = x² + 3x – 9…

A: Given: f(x)=x2+3x-9g(x)=5x+6 The objective is to find (g∘f)(-1)

Q: Determine whether the function f(x) = 4x³ is even or odd. O The function is even because f(-x) =…

A:

Q: x² - 4 or False The domain of the function f(x) is {x|x + ±2}. True

A: The domain of a function is the set of values for which the function is defined. Function being…

Q: Find the value of  b  that gives the function the maximum value of  15   f(x)=-x^2+bx-1

A:

Q: Let f(x) = x2 − 2 and g(x) = 3x − 2. Find the value, if possible. (If not possible, enter…

A:

Q: F(x) = x2 +4 and g(x) = 2 -x  find the following  f(-2) - g(-2)

A:

Q: Find the values of x for which f(x)=g(x).

A:

Q: Let f(x) = x2 − 4 and g(x) = 4x − 2.  Find the value, if possible. (If not possible, enter…

A:

Q: Given the definitions of f (x) and g(x) below, find the value of g(f(2)). f (x) = 3x2 - 3x -3 g(x) =…

A: Given, fx = 3x2 -3x-3  gx = x+1  We have to find the value of  gf2 .

Q: Use the table defining f and g to solve: NOTE: Write Does not exist if the value does not exist. a)…

A:

Q: 1 Find the domain of the function f(x) : . What is the only value of a not in the domain? 7x + 6

A:

Q: Find the value of g(x)=√x^2 - 2 if g(x)= -3.

A: find       g(x)= -3.

Q: Given the definitions of f(x) and g(x) below, find the value of g(f(-3)). f (x) = 2x + 6 g(x) = x +…

A:

Q: The function g(x) is defined as g(x) = -2x² + 3x – 12. Find the value of g(-3). %3D

A: Given thatg(x)=-2x2+3x-12put,   x=-3

Q: What is the value of f(-3) for each function? 1. f(x) = 4x -9 2. f(x) = -* + 13 3. f(x) = -2x - 11…

A: Authoring guidelines:…

Q: Find the domain of f.  f(x) = x - 4/(x - 8)(x + 8)

A:

Q: True or False The domain of the function f(x) = (x2 - 4) / x is {x I x ≠ ±26}.

A: Given,f(x)=(x2-4)x We know, a rational function is defined for all real values of x except for which…

Q: Let h(æ) = f(x) + g(x). If f(x) = x and g(x) = 6x, what is h' (-3)? Do not include "h' (-3) =" in…

A:

Q: Find the domain of the function G where G(x) = (2x/x-9)

A: We need to find the domain of the function G where G(x) = (2x/x-9). So,  The domain of a function is…

Q: Define f(x) = 5 + 4x - x² What is the range of this function? (-00, 2] (-∞0, 9] (-∞0, 0) (-0, 0) [4,…

A:

Q: The zeros of a functions Ax) are 3 and 4, while the zeros of a second function g(x) are 3 and 5.…

A: Solution

Q: let f(x) = x-4/ x2+x-6 and g(x) = x+2/ 2x+6 find an equation of the function f-g   ( simplify your…

A:

Q: 1 Find the domain of the function f(x) = What is the only value of x not in the domain? 2x + 2 Only…

A: Given function, f(x)=12x+2

Q: Find the domain of the function  H (x)  = 2x + 3 / x³ - 4x

A: Domain of a function: The domain of a function f(x) is the all values of x, where the value of f(x)…

Q: Find the domain of the function h(x)=4x^2-4x+1

A: Explanation of the answer is as follows

Q: Find the maximum or minimum value of the function. f(x) = 2x2 + 8x − 5

A:

Q: Consider the functions f(x)=2(x - 3)^2 - 4 and g(x)= -2 (x - 3)^2-4. Without graphing either…

A: Given: fx=2x-32-4gx=-2x-32-4

Q: Find f + g, f - g, fg, and f/g. Determine the domain for the function f(x) = x - 5, g(x) = 3x2

A: Given functions are fx=x-5 and gx=3x2.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: