Math Problem Statement
Use the table of values of g and h to evaluate the expressions below, if possible. If it is not possible, explain why. For the first two, part a) and part b), show the intermediate step, not just the answer.
Solution
Thank you for providing the image. I'll help solve the problem step by step. Let's analyze each part based on the table of values for and .
Table of values:
\hline x & g(x) & h(x) \\ \hline -4 & 0 & -2 \\ -3 & -4 & 8 \\ -2 & 1 & 0 \\ -1 & -1 & 2 \\ 0 & -2 & 1 \\ 1 & 7 & -3 \\ \hline \end{array}$$ ### Part (a): $$h(g(-1))$$ 1. Find $$g(-1)$$: From the table, $$g(-1) = -1$$. 2. Substitute $$g(-1)$$ into $$h(x)$$: Find $$h(-1)$$ from the table. $$h(-1) = 2$$. **Answer for (a):Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Functions
Composition of Functions
Inverse Functions
Formulas
h(g(x))
(g ∘ h)(x)
h⁻¹(x)
g⁻¹(x)
Theorems
Definition of a Function
Inverse Function Theorem
Suitable Grade Level
Grades 9-12