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For the given functions f and g, find the indicated composition:
f(x) = 14x^2 - 10x, g(x) = 7x - 8
(f*g)(9)

HINT: the answer is 41,800 but I dont know how to show the work for it.

Respuesta :

[tex]f(x) = 14x^2 - 10x, g(x) = 7x - 8[/tex]

We need to find (fog)(x). Question says composition functions

(fog)(9)= f (g (9))

First we find g(9)

[tex] g(x) = 7x - 8[/tex]

g(9)= 7(9) - 8 = 55

(fog)(9)= f (g (9))

Plug in 55 for g(9)

(fog)(9)= f (g (9)) = f(55)

Now we plug in 55 for x  in f(x)  and find f(55)

[tex]f(x) = 14(55)^2 - 10(55) = 41800[/tex]

so (fog)(9) = 41,800

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