Question

The functions s and t are defined as follows.s(x) = 2x + 1t(x)=-3x-5Find the value of s(t (4)).Hey

Answer 1

$\begin{gathered} s(x)=2x+1 \\ t(x)=-3x-5 \end{gathered}$

To find s(t(4)):

1. Find t(4): Substitute in the function t(x) the x by 4 and evaluate:

$\begin{gathered} t(4)=-3(4)-5 \\ t(4)=-12-5 \\ t(4)=-17 \end{gathered}$

2. Find s(t(4)): Knowing that t(4) = -17, substitute the x in s(x) by the value of t(4):

$\begin{gathered} s(t(4))=s(-17)=2(-17)+1 \\ s(t(4))=-34+1 \\ s(t(4))=-33 \end{gathered}$

Then, s(t(4)) is equal to -33