If p(x)=3x^2-4 and r(x)=2x^2-5x+1 find the value of r(x+2)-5p(x+2)

Question

Finding the value substituting p(x) and r(x)

Answer 1

You need to substitute a value into two different functions. Let’s look at one of them.

 

r(x+2)

 

what is the definition of r?

r(x) = 2x²-5x+1

 

now place (x+2) everywhere that you see x.

 

r(x+2) = 2(x+2)²-5(x+2)+1

 

now do the same for -5p(x+2), using the definition of p, add them together, and simplify.