Suppose that the dunctions q and r are defined as follows. q(x)=x^2+5 r(x)=sqrt(x+3) Find the following. q@r(1)=? (r@q)(1)=?

Wierzycaz 2021-02-01 Answered
Suppose that the dunctions q and r are defined as follows.
q(x)=x2+5
r(x)=x+3
Find the following.
qr(1)=?
(rq)(1)=?
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Expert Answer

coffentw
Answered 2021-02-02 Author has 103 answers

The composition of the function f(x) and g(x) is denoted by fg(x) is:
(qr)(1)=q(r(1))
=q(1+3){:r(x)=x+5}
=q(2)
=22+5q(x)=x2+5}
=4+5
=9
Compute the value of composite function (rq)(1):
(rq)(1)=r(q(1))
=r(12+5){:q(x)=x2+5}
=r(6)
=6+5{:r(x)=x+5}
=11

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