Answer:
33
Step-by-step explanation:
We have f(x) = x² - 3x + 5 and g(x) = -2x
We want to find (fog)(2) or f((g)(2))
To do so we plug in 2 into g(x) and then g(2) into f(x)
Plugging in 2 into g(x)
g(x) = -2x
g(2) = -2(2)
g(2) = - 4
Plugging in g(2) into f(x)
f(x) = x² - 3x + 5
g(2) = -4
f(-4) = (-4)² - 3(-4) + 5
==> simplify exponent
f(-4) = 16 - 3(-4) + 5
==> multiply -3 and -4
f(-4) = 16 + 12 + 5
==> combine like terms
f(-4) = 33
So (f°g)(2) = 33
