What is the inverse of the function? $g(x)=−4/3x +2$

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Answer 1 · 2017-12-10T17:56:10

$g^-1(x) = -3/4x +3/2$

This is the first selection.

Given:

$g(x)=−4/3x +2$

Substitute $g^-1(x)$ for every instance of x:

$g(g^-1(x))=−4/3g^-1(x) +2$

We know that one of the properties of a function and its inverse is, $g(g^-1(x))= x$ , therefore, the left side becomes x:

$x=−4/3g^-1(x) +2$

Solve for $g^-1(x)$ :

$−4/3g^-1(x) +2 = x$

$−4/3g^-1(x) = x -2$

$g^-1(x) = -3/4x +3/2$

This is the first selection.

What is the inverse of the function? g(x)=−4/3x +2g(x)=−4/3x +2