Question

Find the x-values for which f(x) = g(x)
if you know that f(x) = x2 and g(x) = 2x.

Answer 1

For this case we have the following functions:

`f (x) = x ^ 2\\g (x) = 2x`

If we want
`f (x) = g (x)` then:

`x ^ 2 = 2x\\x ^ 2-2x = 0`

We take common factor x:

`x (x-2) = 0`

Thus, the values of x that make equality equal are:

`x_ {1} = 0\\x_ {2} = 2`

Thus, the values of x for which
`f (x) = g (x)`are 0 and 2.

ANswer:

The values of x for which
`f (x) = g (x)`are 0 and 2.