Question

=Knowledge CheckSuppose that the functions q and r are defined as follows.q(x)=x² +6r(x)=\x+9Find the following.(rog)(7) = Û0/6(qor) () =х=5

Answer 1

q(x) = x^2+6

r(x) = sqrt(x+9)

r(q(7)) =

First find q(7) = 7^2 +6 = 49+6 = 55

Then find r(55) = sqrt(55+9) = sqrt(64)

(r ° q) (7) = 8

q(r(7)) = r(7) =

First find q(7) = sqrt(7+9) = sqrt(16) = 4

Then find r(4) = 4^2 +6 = 16 +6 = 22

(q ° r) (7) = 22