Find the inverse of the function. $f ( x ) = \frac { x - 7 } { 4 }$
A) $f ^ { - 1 } ( x ) = x + 7$
B) $f ^ { - 1 } ( x ) = \frac { 4 x } { 7 }$
C) $f ^ { - 1 } ( x ) = \frac { x + 7 } { 4 }$
D) $f ^ { - 1 } ( x ) = 4 x + 7$
E) none of these

Question

Quizplus · Accepted Answer

To find the inverse of the function $f(x) = \frac{x - 7}{4}$, you swap $x$ and $y$ and solve for $y$. So, $x = \frac{y - 7}{4}$ becomes $y = 4x + 7$, which matches option D.

Find the Inverse of the Function f(x)=x−74f ( x ) = \frac { x - 7 } { 4 }f(x)=4x−7​

Find the Inverse of the Function $f ( x ) = \frac { x - 7 } { 4 }$