Answer:
we conclude:
[tex]f(g(7)) =85[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x + 21[/tex]
[tex]g(x) = 2x + 2[/tex]
To determine
[tex]f(g(7)) =?[/tex]
In order to determine f(g(7)), the first step we need to do is to determine g(7)
so substitute x = 7 in g(x) = 2x + 2
[tex]g(x) = 2x + 2[/tex]
[tex]g(7) = 2(7) + 2[/tex]
[tex]g(7) = 14 + 2[/tex]
[tex]g(7) = 16[/tex]
so now we have
[tex]f(g(7)) =f(16)[/tex]
The next step to do is to substitute x = 16 in f(x) = 4x + 21
[tex]f(x) = 4x + 21[/tex]
[tex]f(16) = 4(16) + 21[/tex]
[tex]f(16) = 64 + 21[/tex]
[tex]f(16) = 85[/tex]
so we have
[tex]f(g(7)) =f(16)=85[/tex]
Therefore, we conclude:
[tex]f(g(7)) =85[/tex]
