The functions s and t are defined as follows. s(x)=-2x+1 t(x)=2x^2-2 Find the value of t(s(4))

Answer 1

s(x)=-2x+1

t(x)=2x²-2

Find the value of t(s(4))

To find t(s), plug in everything that is s in the function of t, instead of x and get:

t(s)= 2 (-2x+1)²-2

And to get t(s(4)), plug in 4 instead of x:

t(s(4))= 2 (-2*4+1)²-2 = 2 (-7)² -2 = 2* 49 - 2 = 96