For the given function f(x), find f-1(x).
-f(x) = x + 6
A) $f ^ { - 1 } ( x ) = \frac { x } { 6 }$
B) $f ^ { - 1 } ( x ) = x - 6$
C) $f ^ { - 1 } ( x ) = 6 - x$
D) $f ^ { - 1 } ( x ) = - x + 6$

Question

For the given function f(x), find f-1(x).
-f(x) = x + 6 
A) $f ^ { - 1 } ( x ) = \frac { x } { 6 }$
B) $f ^ { - 1 } ( x ) = x - 6$
C) $f ^ { - 1 } ( x ) = 6 - x$
D) $f ^ { - 1 } ( x ) = - x + 6$

Quizplus · Accepted Answer

To find the inverse function $f^{-1}(x)$, you swap $x$ and $y$ and solve for $y$. Starting with $y = x + 6$, swapping gives $x = y + 6$, and solving for $y$ gives $y = x - 6$, which matches choice B.

For the Given Function F(x), Find F-1(x) f−1(x)=x6f ^ { - 1 } ( x ) = \frac { x } { 6 }f−1(x)=6x​

For the Given Function F(x), Find F-1(x) $f ^ { - 1 } ( x ) = \frac { x } { 6 }$