Question

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

Answer 1

-77
You first solve for s(x) by plugging in 5 as the variable
-3*5-4=-19
You then plug the -19 into t(x) and 4*-19-1= -77

Answer 2

Hello!

The answer is:

$t(s(5))=-77$

Why?

To solve the problem, first, we need to compose the functions, and then evaluate the obtained function. Composing function means evaluating a function into another function.

We have that:

$f(g(x))=f(x)\circ g(x)$

From the statement we know the functions:

$s(x)=-3x-4\\t(x)=4x-1$

We need to evaluate the function "s" into the function "t", so:

$t(s(x))=4(-3x-4)-1\\\\t(s(x))=-12x-16-1=-12x-17$

Now, evaluating the function, we have:

$t(s(5))=-12(5)-17=-60-17=-77$

Have a nice day!