5x The function f(x) - is one-to-one 8х- 3 (a) Find its inverse and check your answer. (b) Find the domain and the range of f and f".

Q: function f is defined by f (x) = |x – 2|- 3. If f(a) = f(0) and a > 0, what is the value of a ?

A:

Q: The function f(x) = 4x - 3 is all one-to-one. For the function; a. Find an equation for f -1(x), the…

A: a) We write f(x)=y, then we switch x and y. And then we solve for y

Q: Let f (x) = -3 (x – 5) (x + 2) Let 8 (x) be represented by the graph below. Which statement is true…

A:

Q: True or false: The graph of the reciprocal function f(x) =1/x has a break and is composed of two…

A:

Q: 5. Sketch the function f(x) x(x - 3)(x – 4)

A:

Q: 7. Consider the function g(x) = =-4 Describe how the function g(x) was transformed from the parent…

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = 1/x-1

A:

Q: The domain of a one-to-one function f is [0, oo), and its range is [5, 0). State the domain and the…

A: Given, The domain of a one to one function is [0,∞) and its range is [5,∞). To find the domain and…

Q: Evaluate the indicated function for f(x) = x² - 1 and g(x) = x - 3 algebraically. If possible, use a…

A:

Q: (a) Express the new function g(x) = 2 * in terms of the original function f (X) = 2*. g(x)

A:

Q: Q1. Consider the function f(x) =-x² + 4x – 2. a) Sketch the graph of f in the interval [-1,5].

A: Givenf(x)=-x2+4x-2 To sketch f on [-1,5]

Q: A. Evaluate the function at the given value of x and simplify the result. 1. Given f(x)%3D 4x+3 ;…

A: Given f(x)=4x2+3x hence f(-3)=4(-3)2+3-3=4×9+3-3=36+3-3=39-3=-13 hence  f(-3)=-13

Q: Find the inverse function of f(x) – Va + 3. Specify the domain for f-1(x) f'(x): x² – 6x + 9 Domain…

A:

Q: 11) Find the point of inflection of the graph of the function. f(x) = xVx – 27 %3D

A:

Q: 40. a. Show that f(x) = 4x + 4 defines a one-to-one function. b. Write an equation for f(x). c.…

A:

Q: 6. Use the graph of f(x) - to write an equation for the function whose graph is shown.

A: Given data: The given graph of the polynomial. The first point on the graph is (-2,0). The second…

Q: 2x- x - 1 x² + 1 25. F(x)

A:

Q: Find the inverse of the function with the domain given. (Enter the domain using interval notation.)…

A: Explanation of the answer is as follows

Q: Find the domain of the function using interval notation f(x) = -2x(x-1) (x-8)

A: The given function fx=-2xx-1x-8 we have to find the Domain of the function. Domain:     Domain of…

Q: Find f+g , f-g , ƒ•g, for functions x+1 ) ==", g(x)=-. State the domain of each of these functions.…

A:

Q: 4. Using at 7 points, graph the function f(x)=2x

A:

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Solution

Q: snip

A: Find the domain of the function.         fx=x-1x+4

Q: The function f(x) = x3 + 2 is one-to-one. For the function,a. Find an equation for f -1(x), the…

A: given: the function f(x)=x3+2 is one-to-one function  as we know that if we have a function y=f(x)…

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

A:

Q: 5. Determine if the function is odd, even or neither. Explain your answer: f(x) = 6x* + x2 -1 %3D

A: A function 'f(x)' is said even function, when f-x=fx and A function 'f(x)' is said odd function,…

Q: Suppose 5x + 2 f(x) 6 – 3x What are the domain and range of f(x) in interval notation? Domain of…

A:

Q: The function f(x) = x² – 10, x 2 0 is one-to-one. (a) Find the inverse of f and check the answer.…

A: see below the calculation

Q: Answer all parts of the attached question

A: a) For every value of x, there is only one value of y or f(x). So f has an inverse function f-1 b)…

Q: The function f(x) = 8x3 + 1 is all one-to-one. For the function,a. Find an equation for f -1(x), the…

A: Given: fx=8x3+1 To determine: a.f-1(x) b. Verify ff-1x=x & f-1fx=x

Q: 8. The function f(x) = 4x + 3 is one-to-one. a. Find an equation for f, the inverse function. b.…

A: Given f(x)= 4x+3

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

A: Given, function is

Q: 7. Consider the function g(x) ==-4. Describe how the function g(x) was transformed from the parent…

A:

Q: Q4:- Sketch the following functions showing the detailed steps in different graphs: f) f(x) = 1-x2

A: fx=11-x2

Q: The function f(x) =(x + 5)/(x - 6) is one-to-one. For the function,a. Find an equation for f -1(x),…

A: Given: fx=y=x+5x-6 for finding inverse of given function, we find x in terms of y then replace x…

Q: Find the range of the function f(x) = -2x +1  for the domain {–1, 0, 1}

A: Range will be {3,1,-1} Explanation is given below

Q: What is the degree, leading term, leading coefficient, and constant term of the functions below? How…

A:

Q: Consider the function f (x) =/2-x+5 for the domain (-00, 2 Find f (x), where f is the inverse of f.…

A:

Q: Graph the function f(x) 3° and g(x)-3-x on the same set of axes. How does the graph of g(x) compare…

A: To draw the graph of the function f(x) = 3x, find the value of the function at different points to…

Q: 8 Find the domain of the function f(x) x-7

A: Domain:- All those values of x such that f(x) exist.

Q: The function f(x) = (x - 1)3 is one-to-one. For the function,a. Find an equation for f -1(x), the…

A: Given the function f(x) = ( x - 1 )3 Let y = f(x) = ( x - 1 )3 y = ( x - 1 )3y13=  x - 1y13+ 1 = x =…

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

A: Topic:- function

Q: What is the domain and range of the function? Sketch the domain. f(x,y) = -(ln(x2+y2-9))2-9

A: We need to find the domain of the given function. Note that "ln" is defined only for positive…

Q: Sketch the graph of fx) - x - 2x and use the graph to sketch the reciprocal function. Explain how…

A: Sketch the graph of f(x):

Q: Let f(x) be a one-to-one function with the point (-1,2). If f'(-1) = 12, then find f-1(2)

A: fx be the one-one function having the point -1,2 and f'-1=12. So the inverse function is f-1(y)=x if…

Q: If f(x) has an inverse function f-¹(z), could either the graph of for the graph of f be symmetric…

A: Given that fx has an inverse function f-1x. We have to check and explain if either the graph of f or…

Q: x7-x 2- Show that the function f(x): odd or even 1+x*

A: When x replace _x then we have same function it is even otherwise odd

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.