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aleksandrvk [35]
3 years ago
9

For the given functions f and g, find the indicated composition:

Mathematics
1 answer:
Lina20 [59]3 years ago
3 0

f(x) = 14x^2 - 10x, g(x) = 7x - 8

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

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

First we find g(9)

g(x) = 7x - 8

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)

f(x) = 14(55)^2 - 10(55) = 41800

so (fog)(9) = 41,800

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