multiple choice

Question

given the functions f(x)= tanx and g(x)= √x determine an equation for the composite function y=f(g(x)).

a) y=tan√x

b)y=√tanx

c)√x tanx

d)y= tanx/√x

Answer 1

y = f(g(x))

 

 

First we substitute g(x) into function y.

 

y = f(√x)

 

 

Finally, we substitute √x into function f(x). 

 

y = tan√x

 

 

Choose the answer that matches this solution.