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To solve \( t(s(5)) \), follow these steps:

1. First, we calculate \( s(5) \) using the given function \( s(x) = 2x + 2 \).

\[
s(5) = 2(5) + 2 = 10 + 2 = 12
\]

2. Next, substitute \( s(5) = 12 \) into the function \( t(x) = -5x + 4 \) to find \( t(12) \).

\[
t(12) = -5(12) + 4 = -60 + 4 = -56
\]

Therefore, the value of \( t(s(5)) \) is \( \boxed{-56} \).

Would you like any further details or clarifications?

Here are five related questions for practice:
1. What is \( s(3) \) using the function \( s(x) = 2x + 2 \)?
2. What is \( t(3) \) using the function \( t(x) = -5x + 4 \)?
3. Find \( t(s(0)) \).
4. If \( s(x) = 2x + 2 \), what is the inverse function of \( s(x) \)?
5. Solve \( t(s(x)) = 0 \) for \( x \).

**Tip:** When solving composite functions, always work from the innermost function outward.

Find the value of t(s(5)) given s(x) = 2x + 2 and t(x) = -5x + 4.

Learn how to solve the composite function t(s(5)) using s(x) = 2x + 2 and t(x) = -5x + 4. This step-by-step guide explores function composition and linear functions, suitable for students in Grades 8-10.

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