Respuesta :

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

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