SOLUTION: Evaluate the quantity G(x+b)+F(b)given the following functions. G(x)=x^2+2x-4 F(t)=1-t^2 Enter the simplified answer in expanded form. thank you

Algebra ->  Functions -> SOLUTION: Evaluate the quantity G(x+b)+F(b)given the following functions. G(x)=x^2+2x-4 F(t)=1-t^2 Enter the simplified answer in expanded form. thank you       Log On


   

Question 1160237: Evaluate the quantity G(x+b)+F(b)given the following functions.
G(x)=x^2+2x-4
F(t)=1-t^2
Enter the simplified answer in expanded form.
thank you

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Evaluate the quantity G%28x%2Bb%29%2BF%28b%29given the following functions.
G%28x%29=x%5E2%2B2x-4
F%28t%29=1-t%5E2
first find G%28x%2Bb%29
G%28x%2Bb%29=%28x%2Bb%29%5E2%2B2%28x%2Bb%29-4
G%28x%2Bb%29=x%5E2%2B2bx%2Bb%5E2%2B2x%2B2b-4
G%28x%2Bb%29=x%5E2%2B2bx%2B2x%2Bb%5E2%2B2b-4
and
G%28x%2Bb%29%2BF%28b%29=x%5E2%2B2bx%2B2x%2Bb%5E2%2B2b-4%2B1-t%5E2
G%28x%2Bb%29%2BF%28b%29=x%5E2%2B2bx%2B2x%2Bb%5E2%2B2b-t%5E2-3