Consider the functions f (x) = 2x + 1 and g (x) = x^2 - 10 What is the value of f[g (3) ]?

Options are

39

-3

-7

-1

-1

Step-by-step explanation:

Tip: Remember to always start from the inside, which would be g (3), in this case.

The first step in solving this problem is to solve for g (3).

To accomplish this, you must substitute 3 for x into the given equation g (x) = x^2 - 10

g (3) = 3^2 - 10 g (3) = 9 - 10 g (3) = - 1

The next step is to substitute the answer of g (3), - 1, for x in the given equation f (x) = 2x + 1.

Because the equation is asking for f[g (3) ], it becomes f (-1) because g (3) = - 1.

f (-1) = 2 (-1) + 1 f (-1) = - 2 + 1 f (-1) = - 1

Therefore, f[g (3) ], or f (-1), equals - 1