Find the inverse function of $f ( x ) = 8 x + 3$
A) $g ( x ) = \frac { x - 3 } { 8 }$
B) $g ( x ) = 3 x + 8$
C) $\quad g ( x ) = \frac { x + 3 } { 8 }$
D) $\quad g ( x ) = \frac { x } { 3 }$
E) $\quad g ( x ) = \frac { 1 } { 8 } x - 3$

Question

Quizplus · Accepted Answer

To find the inverse function, swap $x$ and $y$ and solve for $y$. Starting with $y = 8x + 3$, swapping gives $x = 8y + 3$, and solving for $y$ gives $y = \frac{x - 3}{8}$, which matches choice A.

Find the Inverse Function Of f(x)=8x+3f ( x ) = 8 x + 3f(x)=8x+3

Find the Inverse Function Of $f ( x ) = 8 x + 3$