Use the graphs of ƒ and g in the figure to determine the following function values. y = f(x) ; y=g(x) <IMAGE>

b. g (ƒ (2))

검증된 단계별 안내

Identify the value of \( f(2) \) from the graph of \( f(x) \).

Substitute \( f(2) \) into the function \( g(x) \) to find \( g(f(2)) \).

Locate the value of \( g(f(2)) \) on the graph of \( g(x) \).

Verify the corresponding \( y \)-value on the graph of \( g(x) \) for the input \( f(2) \).

Conclude the process by confirming the value of \( g(f(2)) \) from the graph.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Function Composition

Function composition involves combining two functions where the output of one function becomes the input of another. In this case, g(f(2)) means you first evaluate f at 2, and then take that result and use it as the input for g. Understanding how to properly execute this process is crucial for solving the problem.

Evaluating Functions

Evaluating a function at a specific point requires substituting the input value into the function's equation or graph. For f(2), you would find the value of the function f at x = 2, which can be done by looking at the graph of f. This step is essential before proceeding to the next function in the composition.

Graph Interpretation

Interpreting graphs is vital for understanding the behavior of functions visually. You need to analyze the graphs of f and g to find the corresponding values at specific points. This skill allows you to extract necessary information from the graphs to evaluate the functions accurately.

Use the graphs of ƒ and g in the figure to determine the following function values. y = f(x) ; y=g(x) <IMAGE>b. g (ƒ (2))