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Given f(x) = x − 7 and g(x) = x2 . Find f(g(4)).

1 Answer

4 votes

Answer:

f(g(4)) = 9

Explanation:

f(x) = x − 7

g(x) = x²

To find f(g(4)) we must first find f(g(x)).

To find f(g(x)) substitute g(x) into f(x) that's for every x in f (x) replace it with g(x)

That's

f(g(x)) = x² - 7

To find f(g(4)) substitute the value of x that's 4 into f(g(x)) that's replace every x in f(g(x)) by 4

That's

f(g(4)) = 4² - 7

= 16 - 7

We have the final answer as

f(g(4)) = 9

Hope this helps you

User Darren Beale
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