Question

Find (ros)(5).
r(x) = x + 2
s(x) = x² + 2
(r)(s)(5)=

Answer 1

To calculate the composition of functions (r o s)(5), you substitute 5 into s(x) to obtain 27, and then substitute 27 into r(x) to get the final result of 29.

Step-by-step explanation:

To find (r o s)(5), which represents the composition of the functions r(x) and s(x) at x = 5, you first evaluate the inner function and then apply the outer function to the result.

Step-by-step solution:

1. First, evaluate s(5).
2. s(x) is defined as x² + 2, so s(5) = 5² + 2 = 25 + 2 = 27.
3. Now, evaluate r(x) using the result from step 2 as the input, so you compute r(27).
4. r(x) is defined as x + 2, so r(27) = 27 + 2 = 29.

Therefore, (r o s)(5) equals 29.