Algebra 2 - Composite Functions

Question

g(t)= 4t + 2

h(t)= t^2 +1

find (goh)(-2)

Answer 1

(g o h)(-2) means g(h(-2)). That means you figure out what h(-2) is, then plug that result into g(t)

h(t) = t² +1

h(-2) = (-2)² + 1 = 4 + 1 = 5

So plug 5 into g(t):

g(t) = 4t + 2

g(5) = 4(5) + 2 = 20 + 2 = 22