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If f(x) = x² + 1 and g(x) = x - 4, which value is equivalent to (f°g)(10)?A. 37B. 97C. 126D. 606

User BurtK
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1 Answer

1 vote

f(x)=x^2+1
g(x)=x-4

When finding (fog)(x), it means, we input g(x) as x-value for f(x).


f(x)=x^2+1
(f\circ g)(x)=(x-4)^2+1
=x^2-8x+16+1
(f\circ g)(x)=x^2-8x+17

Now, given this function, we will now substitute the value of x, which is 10.


(f\circ g)(x)=x^2-8x+17
(f\circ g)(10)=(10)^2^{}-8(10)+17
=100-80+17
(f\circ g)(10)=37

Therefore, the answer is A. 37.

User StrNOcat
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