Can someone help me with this problem?

Question

Let p(x)=x-2 and q(x) = √x. If f(x)=q(p(x)), find f(6)

Answer 1

Since f(x)=q(p(x)) one must consider evaluate each function within the other.

Start with the most internal function and substitute the x of question in f(x) = 6

p(x) = x-2 → p(6) = 6-2 = 4

Now you are able to utilize 4 as x within the outermost function of q

q(x) = √x → q(p(x)) = q(p(6) = q(4) = √4 = 2

Answer 2

f(x)=q(p(x))=q(x-2)= √(x-2).

Now,f(6)= √6-2=√4=2.