Suppose that the functions q and r are defined as follows. q(x)=2x-1 r(x)=-2x^2 Find the following. (q°r)(-2)= (r°q)(-2)=

Answer 1

We will start by writing

q(r(x))=q(-2x²)=2(-2x²)-1=-4x²-1

from which we can immediately evaluate its value at x=-2 given by -4(-2)²-1=-16-1=-17

The other case is

r(q(x))=r(2x-1)=-2(2x-1)² =-2(4x²-4x+1)=-8x²+8x -2

from which we can immediately evluate its value at x=-2 given by -8(-2)²+8(-2) -2=-32-16-2=-50

Best,

Davide