Math Problem Statement
Given h, of, x, equals, 4, x, plus, 3h(x)=4x+3, find h, of, 4h(4).
Solution
Given the function , we want to find .
Step 1: Substitute into the function
Substituting in the function:
Step 2: Simplify the expression
Now, simplify the right-hand side:
Therefore, the value of is:
Would you like a detailed explanation of each step, or do you have any questions?
Here are 5 related questions to expand your understanding:
- What is the inverse of the function ?
- How would you find ?
- If , what is ?
- How would you determine if is a one-to-one function?
- How would you graph the function ?
Tip: For any function , finding involves substituting into the function and simplifying the result.
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Linear Equations
Formulas
h(x) = 4x + 3
Theorems
-
Suitable Grade Level
Grades 6-8