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For the given functions \( f \) and \( g \), find the requested composite function value.

\( f(t) = t^2 + 182 + 81 \)

\( g(t) = t^3 \)

Find \((f \circ g)(9)\).

A. 25

B. 360

C. 625

D. 31

Answer :

Final answer:

This math problem is about computing for the value of a composite function, specifically (fog)(9). The functions f(t) and g(t) are given wherein t is the variable. By substituting 9 into g(t), and the resulting value into f(t), (fog)(9) equals 263.

Explanation:

The subject of the question is about composite functions in mathematics. The problem asks for the value of the composite function (fog)(9), given that f(t) = 182 + 81 and g(t) = t*3.

To compute for the value of (fog)(9), we first find the value of g(9), which is 9 x 3 = 27. Then, we substitute this value into function f(t), namely f(27) which gives 182 + 81 = 263. Therefore, (fog)(9) = 263.

Learn more about Composite Functions here:

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