Question

Question 5 of 20

Let h(x) = (gof)(x) = √√x+3.
Which of the following could be a possible decomposition of h(x)?
O A. f(x)=x+3; g(x)=√x
○ B. f(x) = 3x; g(x)=√x
O c. f(x)=x; g(x)=x+3
O D. f(x)=√√x; g(x)=x+3

Answer 1

The function h(x) can be decomposed as f(x) = x+3 and g(x) = √x.

Step-by-step explanation:

The given function is h(x) = (gof)(x) = √√x+3.

To decompose this function, we need to determine the functions f(x) and g(x) that when composed, give us h(x).

Looking at the given options, only Option A satisfies this condition. f(x) = x+3 and g(x) = √x.

Learn more about Decomposing functions