Question

The functions s and t are defined as follows. s(x) = –2x+1 t(x) = x² – 2 Find the value of s(t(2)).

Answer 1

Answer: s(t(2)) =  –3

Step-by-step explanation:

         This is a composite function, which asks us to evaluate t(x) at x = 2 and substitute this value into s(x) for x.

Given:

     s(t(2))

Substitute:

     –2((2)² – 2) + 1

Square:

     –2(4 – 2) + 1

Subtract:

     –2(2) + 1

Multiply:

     –4 + 1

Add:

     –3