1. Write the given function, h(x), as a composition h(x) = f(g(x)): (a) h(x) = sin(2x...

Transcribed Image Text:

1. Write the given function, h(x), as a composition h(x) = f(g(x)): (a) h(x) = sin(2x + x³): f(t) = 3 (b) h(x) = 2 sin x + sin³ x: |f(t) = (c) f(x) = Ver². g(x) = = g(x): g(x) = f(t)= (d) f(x) = secx+cos x: f(t) = Comment: Check your work by using your f(t) and g(x) to write down f(g(x)) and verify this is indeed the required function 2. For each of the functions h(x) in Problem 1, find h'(x). = g(x) = = 1. Write the given function, h(x), as a composition h(x) = f(g(x)): (a) h(x) = sin(2x + x³): f(t) = 3 (b) h(x) = 2 sin x + sin³ x: |f(t) = (c) f(x) = Ver². g(x) = = g(x): g(x) = f(t)= (d) f(x) = secx+cos x: f(t) = Comment: Check your work by using your f(t) and g(x) to write down f(g(x)) and verify this is indeed the required function 2. For each of the functions h(x) in Problem 1, find h'(x). = g(x) = =