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Show that $f$ and $g$ are inverse functions (a) algebraically, (b) graphically, and (c) numerically.$$f(x)=-\frac{7}{2} x-3, \quad g(x)=-\frac{2 x+6}{7}$$

(a) $f(g(x))=f\left(-\frac{2 x+6}{7}\right)$$\begin{aligned} &=\frac{-7}{2}\left(-\frac{2 x+6}{7}\right)-3=x \\ g(f(x)) &=g\left(-\frac{7}{2} x-3\right) \\ &=-\frac{2\left(-\frac{7}{2} x-3\right)+6}{7}=x \end{aligned}$(B)GRAPH

Algebra

Algebra 2

Chapter 1

Functions and Their Graphs

Section 7

Inverse Functions

Functions

Introduction to Algebra

Graph Linear Functions

Graphing Trigonometry Functions

Algebra and Trigonometry

Johns Hopkins University

University of California, Berkeley

Michigan State University

Lectures

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Show that $f$ and $g$ are …

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we have given then before sex is equal to minus seven by Do explain, asleep in the office is minus off explosives bison. So if lost G affects will be. If, if they are in verses each other, they will get this answer. Let's check if this condition is true or foods. So let's take a for G off X that is false. Minus two explosive spice of it N G o minus seven by toe X minus three. That is minus seven by two minus two X plastics by seven minus three and minus two into minus seven by two x minus three. Plus sits by saying this is one by two under two explosives minus three and then my Nestle's minus seven. Next minor six plus six places his X Plus three minus lee with the seven next last seven so that its exit will direct. Has the condition is true? Hence they are equal. So if he draw the graphs off to see Christians, it is therefore fix deal fix, so total effects will be minus seven. Divided by two X minus three with in jail fixes minus two x Last six divided by seven and then this is why is equal don't mix. So let's leader without solves the secretions. This is a full fixed with us. This is T O fixed rush and this is why is equal Toe X and then we will see the table. This was the table off all the features of graphing utility using X and F or fix.

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