Question

Composition of Functions
f(x)=-4x+9,g(x)=x^(2)-x-10, find the value of fog(5)

Answer 1

Answer: Given f(x) = -4x + 9 and g(x) = x^2 - x - 10, the composition of functions fog(x) is defined as fog(x) = f(g(x)).

To find the value of fog(5), we need to evaluate g(5) first:

g(5) = 5^2 - 5 - 10 = 20

Now that we have g(5) = 20, we can substitute it into f(x) to find fog(5):

fog(5) = f(g(5)) = f(20) = -4 * 20 + 9 = -79

So, the value of fog(5) is -79.

Explanation: