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.Com
Question 1160262: 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 solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ x^2\ +\ 2x\ -\ 4)
So
\ =\ (x\,+\,b)^2\ +\ 2(x\ +\ b)\ -\ 4)
\ =\ 1\ -\ t^2)
So
\ =\ 1\ -\ b^2)
Then
\ +\ F(b)\ =\ (x\,+\,b)^2\ +\ 2(x\ +\ b)\ -\ 4\ +\ 1\ -\ b^2)
Now all you have to do is expand and collect like terms.
John
My calculator said it, I believe it, that settles it
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