Question

The functions r and s are defined as follows. r(x)=2x-2 s(x)=-x^2 find the value of s(r(-3)) (please help!)

Answer 1

Solving equation s(r(x)) for x= -3, you find as result s(r(-3))=-64

Solving Equations

The equations can be solved when you replace the variable x for a given value or find the zero of functions.

The question gives:

                                 r(x)=2x-2

                                 s(x)=-x²

First, you will find r(-3). For this, in the equation r(x)=2x-2, you should replace x for -3. Then,

                                r(x)=2*(-3)-2

                                r(x)=-6-2= -8

Like r(-3)= -8, you should replace x, in s(x), for -8.

                                 s(x)=-(-8)²

                                 s(x)=-64

Hence, s(r(-3)=-64.

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