Answered

If f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to (f*g)(10)

A37
B97
C126
D606

The only thing I'm pretty sure about right now is that the answer isn't d.

Verified Answer :

the answer is A. 37

Answer:

Option a is correct

\((f o g)(10) =37\)

Step-by-step explanation:

Given the functions:

\(f(x) = x^2+1\)

\(g(x) = x-4\)

Then;

\((f o g)(x) = f(g(x))\)

Substitute the function g(x), we have;

\(f(x-4)\)

Replace x with x-4 in function f(x) we have;

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

⇒\((f o g)(x) = (x-4)^2+1\)

Substitute value of x = 10 we have;

\((f o g)(10) = (10-4)^2+1\)

⇒\((f o g)(10) = (6)^2+1=36+1\)

Simplify:

\((f o g)(10) =37\)

Therefore, the value of \((f o g)(10)\) is, 37

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