Question

Given that g(x)=x²−4x−5, find the value of (g∘g)(−3):

Answer 1

To find the value of (g∘g)(-3), we need to first find the value of g(-3). Substitute -3 into the function g(x): g(-3) = (-3)² - 4(-3) - 5. Simplify: g(-3) = 9 + 12 - 5 = 16. Now, substitute the value of g(-3) = 16 into the function g(x): (g∘g)(-3) = g(16) = 16² - 4(16) - 5. Simplify: (g∘g)(-3) = 256 - 64 - 5 = 187.

Step-by-step explanation:

To find the value of (g∘g)(-3), we need to first find the value of g(g(-3)). Let's start by finding g(-3).

Substitute -3 into the function g(x): g(-3) = (-3)² - 4(-3) - 5.

Simplify: g(-3) = 9 + 12 - 5 = 16.

Now, substitute the value of g(-3) = 16 into the function g(x): (g∘g)(-3) = g(16) = 16² - 4(16) - 5.

Simplify: (g∘g)(-3) = 256 - 64 - 5 = 187.