Find the inverse of $f ( x ) = \frac { 1 + 4 x } { 3 }$
A) $f ^ { - 1 } ( x ) = \frac { 3 x + 1 } { 4 }$
B) $f ^ { - 1 } ( x ) = \frac { 4 x - 1 } { 3 }$
C) $f ^ { - 1 } ( x ) = \frac { 4 x + 1 } { 3 }$
D) $f ^ { - 1 } ( x ) = \frac { 3 x - 1 } { 4 }$

Question

Quizplus · Accepted Answer

To find the inverse function, $f^{-1}(x)$, you swap $x$ and $y$ in the original function and solve for $y$. Starting with $y = \frac{1 + 4x}{3}$, swapping $x$ and $y$ gives $x = \frac{1 + 4y}{3}$. Solving for $y$ yields $y = \frac{3x - 1}{4}$, which matches choice D.

Find the Inverse Of f(x)=1+4x3f ( x ) = \frac { 1 + 4 x } { 3 }f(x)=31+4x​

Find the Inverse Of $f ( x ) = \frac { 1 + 4 x } { 3 }$