Question

Given f(x) = g\left(h^{2}(x), h(1)=2, (1)=−3, and (4)=−2, what is the value of (1)?

Answer 1

To find the value of f(1), we need to evaluate g(h^2(1)) with the given values of h(1) and g.

Step-by-step explanation:

In the given problem, we are given the function f(x) and need to find the value of f(1). We are also given two other functions, g and h, with their respective values at x=1, x=2, and x=4. To find the value of f(1), we need to evaluate g(h^2(1)) using the given values of h(1) and g. Let's calculate it step by step:

1. Substitute h(1) = 2 into h^2(x) to get h^2(1) = 2^2 = 4.
2. Substitute the value of h^2(1) into g to get g(4).
3. The value of f(1) is equal to g(4) according to the definition of the function f.

Therefore, the value of f(1) is g(4).