Math Problem Statement

f(x)=3*2x-5

Solution

The function you provided is:

f(x)=32x5f(x) = 3 \cdot 2x - 5

It looks like there's a slight ambiguity in the expression. Let me clarify:

  1. If you meant f(x)=3(2x)5f(x) = 3 \cdot (2x) - 5, then it simplifies to: f(x)=6x5f(x) = 6x - 5

  2. If you meant f(x)=32x5f(x) = 3 \cdot 2^x - 5, then it's an exponential function: f(x)=32x5f(x) = 3 \cdot 2^x - 5

Please clarify which one you meant, and I can provide further explanations!

Do you have any questions or would you like more details? Here are some relative questions:

  1. How would you find the domain of this function?
  2. What is the range of f(x)f(x) in each case?
  3. How do you determine the intercepts of f(x)f(x)?
  4. Can you describe the general shape of the graph for both cases?
  5. What is the derivative of f(x)f(x) in each scenario?

Tip: Always double-check parentheses when writing mathematical expressions to avoid ambiguity.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Exponential Functions

Formulas

f(x) = 3 * (2x) - 5
f(x) = 3 * 2^x - 5

Theorems

Properties of Linear Equations
Properties of Exponential Functions

Suitable Grade Level

Grades 8-10