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Question

(1) The functions s and t are defined as follows:

s(x)= -x-1

t(x)= x²-1

Find the value of t(s(2)).

(2) The functions s and t are defined as follows:

s(x)= -2x+2

t(x)= 2x²-1

Find the value of s(t(2)).

Answer 1

(1) The functions s and t are defined as follows:

s(x)= -x-1

t(x)= x²-1

Find the value of t(s(2)).

s(2) = -2-1 = -3

t(s(2)) = t(-3) = (-3)²-1 = 9-1 = 8.

(2) The functions s and t are defined as follows:

s(x)= -2x+2

t(x)= 2x²-1

Find the value of s(t(2)).

t(2) = 2(2)²-1 = 2(4)-1 = 8-1 = 7

s(t(2)) = s(7) = -2(7)+2 = -14+2 = -12