Suppose that the dunctions q and r are defined as follows.q(x)=x^2+7r(x)=sqrt(x+8)Find the following.q@r(1)=?(r@q)(1)=?

Brennan Flores 2021-01-05 Answered

Suppose that the dunctions q and r are defined as follows.
q(x)=x2+7
r(x)=x+8
Find the following.
qr(1)=?
(rq)(1)=?

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Expert Answer

Theodore Schwartz
Answered 2021-01-06 Author has 99 answers

Find the function definition for the first composite function, as follows:
(qr)(x)=q(r(x))
=q(x+8)
=(x+82+7)
=x+8+7
=x+15
Find the function definition for the second composite function, as follows:
(rq)(x)=r(q(x))
=r(x2+7)
=(x2+7)+8
=x+15
Find the value of the first composite function at x=1, as follows:
(qr)(1)=(1)+15=16
Find the value of the second composite function at x=1, as follows:
(rq)(1)=12+15
=16
=4

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