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.