3. Show that the f(x)=x +5 and g(x) = x-5 are inverse functions by showing: (fog)(x)=x (gof)(x)=x.
3. Show that the f(x)=x +5 and g(x) = x-5 are inverse functions by showing: (fog)(x)=x (gof)(x)=x.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![**3.** Show that the \( f(x) = x^3 + 5 \) and \( g(x) = \sqrt[3]{x - 5} \) are inverse functions by showing:
\[
(f \circ g)(x) = x
\]
\[
(g \circ f)(x) = x
\]
**4.** Pinky’s Pizza charges a base fee of $15.50 for a large pizza and $1.50 for each additional topping.
- **a.** Find a function \( f \) that models the price of a pizza with \( n \) toppings.
- **b.** Find the inverse of \( f \). What does \( f^{-1} \) represent?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4a6764b-ec66-4cf8-9984-52f9ddecdfb1%2F4081fdf1-8f90-4f12-ae19-b31a8f36aea4%2F0kbipr9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**3.** Show that the \( f(x) = x^3 + 5 \) and \( g(x) = \sqrt[3]{x - 5} \) are inverse functions by showing:
\[
(f \circ g)(x) = x
\]
\[
(g \circ f)(x) = x
\]
**4.** Pinky’s Pizza charges a base fee of $15.50 for a large pizza and $1.50 for each additional topping.
- **a.** Find a function \( f \) that models the price of a pizza with \( n \) toppings.
- **b.** Find the inverse of \( f \). What does \( f^{-1} \) represent?
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