Question

Evaluate the indicated function for f(x)=x^2-1 & g(x)=x-2 algebraically .

Answer 1

Given:

`f(x)=x^2-1\text{ ; g(x)=x-2 }`
`((f)/(g))(t+2)=(f(t+2))/(g(t+2))`
`((f)/(g))(t+2)=\frac{(t+2)^2-1}{(t+2)^{}-2}`
`((f)/(g))(t+2)=(t^2+4t+4-1)/(t+2-2)`
`((f)/(g))(t+2)=(t^2+4t+3)/(t)`
`((f)/(g))(t+2)=((t+1)(t+3))/(t)`