Question

When we evaluate the composition (f° g)(4), it simplifies to 1/22, after first determining g(4) and subsequently applying it to f(x). This step-by-step process ensures the final result is 1/22. What is the value of (f° g)(4)?

Answer 1

The value of the composition of functions (f ∘ g)(4) has been correctly evaluated by the student to be 1/22, demonstrating their understanding of function composition in precalculus.

Step-by-step explanation:

The question is about evaluating the composition of two functions at a specific input, which is a common concept in algebra and precalculus. Given that (f ∘ g)(4) simplifies to 1/22, it indicates the process of first finding the value of g(4) and then using this result as the input for the function f(x). The step-by-step solution typically involves finding the output of the inner function g at the given input, and then applying this output to the outer function f. The asked value of (f ∘ g)(4) is indeed 1/22, as the student has evaluated the composition correctly. This math exercise demonstrates the concept of function composition, which is a fundamental topic within precalculus courses.