Question

Please give me an explanation and the answers on question 3

Answer 1

We will illustrate on how to find the inverse function.

First, recall that the inverse function is a function that given the output of a function, it will give you back the input out of which that output came from.

when athe function has a formula, we can follow some steps to find the inverse function. Suppose we are given the function

`f(x)=3x+5`

Now, we first change f(x) with the letter y. So we get

`y=3x+5`

now, we interchange variables x and y. So we get

`x=3y+5`

Finally we solve this equation for y. We will first subtract 5 on both sides and then divide both sides by 3. So we get

`y=\frac{x\text{ -5}}{3}`

and now we replace the y with the symbol of the inverse function. So we have that

`f^{\text{ -1}}(x)=\frac{x\text{ -5}}{3}`