Math Problem Statement
given f(x)=2x+5 and g(x)=x^2 find (g of f)(0)
Solution
To find , also known as , we will first find and then substitute the result into .
Step 1: Find
Given , substitute into the equation:
Step 2: Find
Now, substitute into , which is given as :
Final Answer:
Would you like further details or clarification on this?
Here are 5 related questions:
- What is ?
- How would you find for any ?
- Can you explain the difference between function composition and multiplication?
- What is ?
- How do you find the inverse of a function?
Tip: Always double-check the order of composition when working with multiple functions—it's crucial for getting the right result!
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Math Problem Analysis
Mathematical Concepts
Function Composition
Linear Functions
Quadratic Functions
Formulas
f(x) = 2x + 5
g(x) = x^2
(g ∘ f)(x) = g(f(x))
Theorems
Composition of Functions
Suitable Grade Level
Grades 9-10
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