Question

The functions q and r are defined as follows.

q(x)=2x-1
r(x)=-2x^2+2
Find the value of
q(r(−3))=

Answer 1

q(x)=2x-1
r(x)=-2x^2+2
Find the value of
q(r(−3))=

First find r(-3)
r(x)=-2x^2+2
put x= -3
r(-3)= -2(-3)^2+2
r(-3)=-18+2= -16

now q(x)=2x-1
Put x=r(-3)
g(r(-3))=2(-16)-1
=-32-1= -33
g(r(-3))= -33