Given f(x)=x-7 and g(x) =x^2

Find g(f(4))

g(f(4))=

Step-by-step explanation:

f(x)=x-7

g(x) = x²

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

That's

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

So we have

g(f(x)) = ( x - 7)² = x² - 7x - 7x + 49

g(f(x)) = x² - 14x + 49

Now to find g(f(4)) substitute the value of x that's 4 into g(f(x))

That's

g(f(4)) = 4² - 14(4) + 49

= 16 - 56 + 49

We have the final answer as

Hope this helps you

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step-by-step explanation: