What is the value of f(g(3)) for the functions f(x) = 2x + 1 and g(x) = x^2 – 10?

To find the value of f(g(3)), we first need to calculate g(3).

The function g(x) is defined as:

• g(x) = x² – 10

Now, substitute 3 into the function:

• g(3) = 3² – 10
• g(3) = 9 – 10
• g(3) = -1

Now that we have g(3) = -1, we will substitute this value into the function f(x).

The function f(x) is defined as:

• f(x) = 2x + 1

Now, substitute -1 into the function:

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

Therefore, the value of f(g(3)) is -1.