Evaluate the inner function g(x) at x = -1.

March 27, 2026Computer Science

ScanSolve AI Answer

March 27, 2026

Answer

Step 1: Evaluate the inner function $g(x)$ at $x = -1$ . The function $g(x)$ is given by $g(x) = 3x - 1$ . Substitute $x = -1$ into $g(x)$ : $g(-1) = 3(-1) - 1$ $g(-1) = -3 - 1$ $g(-1) = -4$

Step 2: Evaluate the outer function $f(x)$ at the result from Step 1, which is $f(-4)$ . The function $f(x)$ is given by $f(x) = x^2 + 2$ . Substitute $x = -4$ into $f(x)$ : $f(-4) = (-4)^2 + 2$ $f(-4) = 16 + 2$ $f(-4) = 18$

The value of $fg(-1)$ is $18$ .

The correct option is B. $\boxed{B}$

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Quick Answer

The function g(x) is given by g(x) = 3x - 1.
The function f(x) is given by f(x) = x^2 + 2.
Substitute x = -4 into f(x): f(-4) = (-4)^2 + 2 f(-4) = 16 + 2 f(-4) = 18 The value of fg(-1) is 18.
The correct option is B.

Asked on March 27, 2026Computer Science

This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.

ScanSolve AI AnswerAnswered on March 27, 2026

Step 1: Evaluate the inner function g(x) at x = -1. The function g(x) is given by g(x) = 3x - 1. Substitute x = -1 into g(x): g(-1) = 3(-1) - 1 g(-1) = -3 - 1 g(-1) = -4 Step 2: Evaluate the outer function f(x) at the result from Step 1, which is f(-4). The function f(x) is given by f(x) = x^2 + 2. Substitute x = -4 into f(x): f(-4) = (-4)^2 + 2 f(-4) = 16 + 2 f(-4) = 18 The value of fg(-1) is 18. The correct option is B. B