Let g(x) be the inverse of f(x). If g(x) =-3x+4, what is fAx)?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**#7: Inverses, part 1**

Let \( g(x) \) be the inverse of \( f(x) \). If \( g(x) = -3x + 4 \), what is \( f(x) \)?

*Explanation:*
This slide presents a question about finding the original function \( f(x) \) given its inverse \( g(x) \). The function \( g(x) \) is expressed as the linear equation \( -3x + 4 \). To find \( f(x) \), you need to solve for \( x \) in terms of \( y \) in the equation \( y = -3x + 4 \) and rearrange to express \( x \) as a function of \( y \), then replace \( y \) with \( f(x) \).
Transcribed Image Text:**#7: Inverses, part 1** Let \( g(x) \) be the inverse of \( f(x) \). If \( g(x) = -3x + 4 \), what is \( f(x) \)? *Explanation:* This slide presents a question about finding the original function \( f(x) \) given its inverse \( g(x) \). The function \( g(x) \) is expressed as the linear equation \( -3x + 4 \). To find \( f(x) \), you need to solve for \( x \) in terms of \( y \) in the equation \( y = -3x + 4 \) and rearrange to express \( x \) as a function of \( y \), then replace \( y \) with \( f(x) \).
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