55.0k views
1 vote
Let g(x)=2x and h(x)=x^2+4. Find the value. (hg)(1)

User GTK
by
7.3k points

1 Answer

5 votes
g(x) = 2x h(x) = x² + 4

h(g(x)) = h(2x)

h(x) = x² + 4

h(2x) = (2x)² + 4 = 4x² + 4

hg(1):

hg(x) = h(g(x)) = 4x² + 4

hg(1) = 4*1² + 4 = 4 + 4 = 8

hg(1) = 8

User Mark Henry
by
8.4k points