Answer:
H(G(x)) = 12x - 52
Step-by-step explanation:
We are given the following two functions:
[tex] H ( x ) = - 6 x + 8 [/tex]
[tex] G ( x ) = 1 0 - 2 x [/tex]
And we are to find the value of H(G(x)).
For that, we will apply the function of H on the function of G.
[tex]H(G(x))=H(10-2x)[/tex]
[tex] H ( G ( x ) ) = - 6 ( 1 0 - 2 x ) + 8 [/tex]
[tex]H(G(x))=-60+12x+8[/tex]
H(G(x)) = 12x - 52
