The graph of the function y $y = f ( x ) \text { is given. On the same axes, sketch the graph of } f ^ { - 1 } ( x )$ . Use a dashed line for the inverse
function.
-A size 4 dress in Country C is size 42 in Country D. A function that converts dress sizes in Country $C$ to those in Country $D$ is $f ( x ) = x + 38$. Find a formula for the inverse of this function.
A) $f ^ { - 1 } ( x ) = x + 38$
B) $f ^ { - 1 } ( x ) = \frac { x } { - 38 }$
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 38 }$
D) $f ^ { - 1 } ( x ) = x - 38$

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 $y = x + 38$, swapping gives $x = y + 38$, and solving for $y$ gives $y = x - 38$, which corresponds to $f^{-1}(x) = x - 38$.

The Graph of the Function Y y=f(x) is given. On the same axes, sketch the graph of f−1(x)y = f ( x ) \text { is given. On the same axes, sketch the graph of } f ^ { - 1 } ( x )y=f(x) is given. On the same axes, sketch the graph of f−1(x)

The Graph of the Function Y $y = f ( x ) \text { is given. On the same axes, sketch the graph of } f ^ { - 1 } ( x )$