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Verizon [17]
2 years ago
11

The functions s and t are defined as follows.

Mathematics
2 answers:
soldi70 [24.7K]2 years ago
6 0
-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
kkurt [141]2 years ago
5 0
<h2>Hello!</h2>

The answer is:

t(s(5))=-77

<h2>Why?</h2>

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!

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