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In the following exercises, determine whether or not the given functions are inverses. $f(x)=7 x+3$ and $g(x)=\frac{x-3}{7}$

   In the following exercises, determine whether or not the given functions are inverses.
$f(x)=7 x+3$ and $g(x)=\frac{x-3}{7}$
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 10, Problem 35 ↓
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In the following exercises, determine whether or not the given functions are inverses. $f(x)=7 x+3$ and $g(x)=\frac{x-3}{7}$
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Transcript

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00:01 For this exercise, we have f of x equals 7x plus 3 and g of x equals x minus 3 over 7.
00:06 Now, we're going to substitute x for y and y for x.
00:10 So we have y equals 7x plus 3 originally...
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