Answer:
g(f(4)) = 9
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
g(f(4)) = 9
Hope this helps you
