Answer:
x = ± 2
Step-by-step explanation:
to find f(g(x)), substitute x = g(x) into f(x)
f(g(x))
= f(x²)
= 2x² - 8
Now equate f(g(x)) to zero, that is
2x² - 8 = 0 ( add 8 to both sides )
2x² = 8 ( divide both sides by 2 )
x² = 4 ( take square root of both sides )
[tex]\sqrt{x^2}[/tex] = ± [tex]\sqrt{4}[/tex] , that is
x = ± 2
