QQuestionMathematics
QuestionMathematics
Which expression is equivalent to (st)(6)?
A. s(t(6))
B. s(x)×t(6)
C. s(6)×t(6)
D. 6×s(x)×t(x)
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:Let's solve this step by step:
Step 2:: Understand the notation
- The expression (st)(6) means we first compose the functions s and t, and then evaluate the resulting function at 6.
Step 3:: Interpret function composition
- Mathematically, this is written as $$[s \circ t](6) = s(t(6))
- Function composition (st) means first apply function t, then apply function s to the result.
Step 4:: Analyze the given options
- Option A: $$s(t(6))
This matches the correct interpretation of function composition.
Step 5:: Eliminate incorrect options
- Option D: $$6 \times s(x) \times t(x)
This is incorrect because it doesn't represent function composition. This is just multiplying the functions evaluated at 6, not composition. This is a different expression entirely.
Final Answer
A. s(t(6)) is the equivalent expression to (st)(6).
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students