SOLUTION: For the real-valued function f(x) and g(x) bellow find (f o g)(5). f(x)=2^(x-3) and g(x)= square root of (x^2+39) The correct answer is one of the following. Which one is co

Question 1199001: For the real-valued function f(x) and g(x) bellow find (f o g)(5).

f(x)=2^(x-3) and g(x)= square root of (x^2+39)
The correct answer is one of the following. Which one is correct?
A) square root of 55
B) 32
C) 4
D) 8
Found 2 solutions by josgarithmetic, math_tutor2020:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Mostly can be done using substitutions

f of g of x for x at 5.
Evaluate g(5). Use as input to evaluate f at g(5).
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

The notation (f o g)(x) is the same as f( g(x) ).

To evaluate f( g(5) ), we first need the value of g(5).

This means,

and furthermore,

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