Math Problem Statement
Given that f(x) = 7x + 9 and g(x) = 2 - x^2, calculate (a) f(g(0)) and (b) g(f(0)).
Solution
We are given the functions:
Now, we need to compute the following:
(a)
- First, calculate :
- Next, substitute into the function : So, .
(b)
- First, calculate :
- Now, substitute into the function : So, .
Final answers:
Would you like further details or have any questions about this process?
Here are 5 related questions to practice:
- Find .
- Find .
- If , what is ?
- What is the derivative of ?
- Solve for if .
Tip: When working with composite functions like , always evaluate the inner function first and then substitute its result into the outer function.
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Composite Functions
Formulas
f(x) = 7x + 9
g(x) = 2 - x^2
Theorems
Function Composition
Suitable Grade Level
Grades 9-12