Function Inverses Answers

12 verified answers
3

The function f(x) = ln(x) has a domain of all real numbers greater than zero and a range of all real numbers. The inverse of this function is f–1(x) = ex. Which conclusion can be drawn by comparing the two functions?

A
The domain of f–1(x) is all real numbers and the range is all real numbers.
B
The domain of f–1(x) is all real numbers greater than 0 and the range is all real numbers.
C
The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.
D
The domain of f–1(x) is all real numbers greater than 0 and the range is all real numbers greater than 0.
4

Consider the function [image 1] and its inverse, [image 2] .Which statement describes how the x-intercept for the original function can be determined?

A
The x-intercept for f(x) is the constant in the f(x) equation.
B
The x-intercept for f(x) is the constant in the f–1(x) equation.
C
The x-intercept for f(x) is the reciprocal of the constant in the f(x) equation.
D
The x-intercept for f(x) is the reciprocal of the constant in the f–1(x) equation.
5

Which statements accurately compare the function and its inverse? Check all that apply.

A
The domains of the two functions extend to positive infinity.
B
The ranges of the two functions are all real numbers.
C
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
D
The point of intersection of the two functions indicates that the functions are inverses.
E
Neither function has a minimum.
6

Complete the sentences to compare the functions. The range of f–1(x) is . The domain of f(x) is . The minimum of f(x) is equal to the .

Answers:
Selection 1:all real numbers
Selection 2:all real numbers
Selection 3:smallest value in the domain of f inverse
7

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20

Which rationale best describes why the functions are inverses?

A
The functions intersect each other.
B
The functions have the same general curve.
C
The functions are reflections over the line y = x.
D
One function has an x-intercept and the other has a y-intercept.

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