Find the inverse function of $f ( x ) = 6 - x$ .
A) $f ^ { - 1 } ( x ) = 6 - x$
B) $f ^ { - 1 } ( x ) = - 6 - x$
C) $f ^ { - 1 } ( x ) = 6$
D) $f ^ { - 1 } ( x ) = 6 + x$
E) $f ^ { - 1 } ( x ) = - 6 + x$

Question

Quizplus · Accepted Answer

To find the inverse function, swap $x$ and $y$ and solve for $y$. Starting with $y = 6 - x$, swapping gives $x = 6 - y$, which rearranges to $y = 6 - x$, showing that the inverse function is the same as the original function.

Find the Inverse Function Of f(x)=6−xf ( x ) = 6 - xf(x)=6−x

Find the Inverse Function Of $f ( x ) = 6 - x$