Answer:
[tex]g(h(1011)) = 2010[/tex]
Step-by-step explanation:
Given
[tex]g(x) = x - 4[/tex]
[tex]h(x) =2x - 8[/tex]
Required
[tex]g(h(1011)[/tex]
First, we calculate [tex]g(h(x))[/tex]
[tex]g(x) = x - 4[/tex]
Substitute h(x) for x
[tex]g(h(x)) = h(x) -4[/tex]
Substitute [tex]h(x) =2x - 8[/tex]
[tex]g(h(x)) = 2x - 8 -4[/tex]
[tex]g(h(x)) = 2x -12[/tex]
Substitute 1011 for x
[tex]g(h(1011)) = 2*1011 -12[/tex]
[tex]g(h(1011)) = 2022 -12[/tex]
[tex]g(h(1011)) = 2010[/tex]
