How do you find (fg)(5)+f(4) when f(x)=(x^2)+1 and g(x)=x-4?

1 Answer
Dec 25, 2015

Answer: 43

Explanation:

f(x) = x^2 + 1

g(x) = x-4

To find (fg)(5) + f(4)

Step 1: Find f(4)

f(4) = 4^2 + 1 = color(red)17

Step 2: (fg)(x) = (x^2 +1)(x-4)

(fg)(5) = (5^2 +1)(5-4)= (26)(1) = color(blue)26

so (fg)(5)+f(4) =color(blue)( 26 )+ color(red)(17) =43