Question

What is the value of `x` in `g(x)=-97.2x-83.2` when `g(x)=-38`?

Answer 1

When we have the value of the function and want to know the value of the variable, simply raise equality and solve the resulting equation.

Explanation:

If `g (x)=-97.2 x-83.2` and we know that `g(x)=-38`, it's obvious that `-38=-97.2 x-83.2`.

We obtain a first degree simple equation, very easy to solve:

`-38=-97.2x-83.2 rArr 97.2 x=-83.2+38 rArr`

`rArr 97.2x=-45.2 rArr x=-45.2/97.2 =- 113/243 ~~ - 0,465...`