For this case we have the following functions:
[tex]f (x) = x ^ 2\\g (x) = 2x[/tex]
If we want [tex]f (x) = g (x)[/tex] then:
[tex]x ^ 2 = 2x\\x ^ 2-2x = 0[/tex]
We take common factor x:
[tex]x (x-2) = 0[/tex]
Thus, the values of x that make equality equal are:
[tex]x_ {1} = 0\\x_ {2} = 2[/tex]
Thus, the values of x for which[tex]f (x) = g (x)[/tex]are 0 and 2.
ANswer:
The values of x for which [tex]f (x) = g (x)[/tex]are 0 and 2.
