Question

Write the composite function in the form f(g(x)). [Identify the inner function
u = g(x) and the outer function y = f(u).] (Use non-identity functions for f(u) and g(x)).

y = tan(x^5)

(f(u),g(x))=(?)

I thought the answer would be (tan(x),x^5) but it turns out it isn't? I would appericiate it if someone could tell me the right answer or explain how to get it.

Answer 1

g(x) = x^5
f(x) = tan(x)
f(g(x)) = tan(g(x) = tan(x^5)

your answer is correct, but that's not what they asked. They want
f(u) = tan(u)
g(x) = x^5
so, (tan(u),x^5)

Answer 2

Ah, thanks so much for answering! Can't believe I didn't notice that.

Answer 3

🧞‍♀️