If a function uses variables other than x and y for its input and output variables you take the original equation and solve for the output variable to find the inverse.
a. true
b. false

Question

If a function uses variables other than x and y for its input and output variables you take the original equation and solve for the output variable to find the inverse.
a. true
b. false

kittiwitti1 · Answer

Solving for an inverse:$$f(x)=x^{2}\rightarrow\text{Inverse: }f(y)=y^{2}$$$$\text{ As f(x) is y, and f(y) is x, we isolate y to find the inverse function.}$$So, in order to find the inverse, you have to switch the output/input.
As normally you solve for the output variable (y) in terms of the input variable (x), here we would solve for the input variable in terms of the output variable: x in terms of y
The variables are switched because it helps people solve more easily.
So the answer is false

mathmale · Answer

The variables involved here, whether x and y, or p and q, have no bearing whatsoever on the process of finding the inverse of a function.

Thus, your job is to go through the several steps necessary to find the inverse of said function algebraically.  Compare your steps with those in the original problem statement.  Same?  Different?