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 input variable to find the inverse.

TRUE
OR
FALSE
?

Answer 1

False.

Explanation:

When we talk about the input variable, it refers to the independent variable which most of the time is expressed as x. That means the output variable often refers to y, because that's the image or range.

So, in this case, if we want to find the inverse of a function, we just have to solve for x, that is, for the input variable. For example, if we have the following function

`h=2t`

The input variable would be
`t`, so the inverse would be found by solving for that variable

`t=(h)/(2)`

However, we need to switch the position of variables to find the inverse function as follows

`h=(t)/(2)`

Therefore, to the inverse of a function we certainly have to solve for the input variable, but then we need to do an extra step, swtich variable's position, that's why this statement is false, because it doesn't express the full process.

Answer 2

For the answer to the 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 input variable to find the inverse.

The answer is Simply true. But in real life it's false.

I hope my answer helped you.