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4 votes
The functions s and t are defined as follows.

s(x) = -3x -4
t(x) = 4x - 1
Find the value of t(s(5)) .

2 Answers

6 votes
-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
User Not A JD
by
7.7k points
5 votes

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!

User Carlos Segarra
by
8.6k points

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