For the given function f(x), find f-1(x).
-f(x) = 5 - x
A) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \mathrm { x } + 5$
B) $f ^ { - 1 } ( x ) = \frac { x } { 5 }$
C) $f ^ { - 1 } ( x ) = x - 5$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = 5 - \mathrm { x }$

Question

For the given function f(x), find f-1(x).
-f(x) = 5 - x 
A) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \mathrm { x } + 5$
B) $f ^ { - 1 } ( x ) = \frac { x } { 5 }$
C) $f ^ { - 1 } ( x ) = x - 5$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = 5 - \mathrm { x }$

Quizplus · Accepted Answer

To find the inverse of a function, we switch x and y and solve for y. So, we have:
x = 5 - y
Solving for y, we get:
y = 5 - x
Thus, the inverse function is f^-1(x) = 5 - x. Therefore, the correct choice is D.

For the Given Function F(x), Find F-1(x) f−1(x)=x+5\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \mathrm { x } + 5f−1(x)=x+5

For the Given Function F(x), Find F-1(x) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \mathrm { x } + 5$