Math Problem Statement

Fungsi linier f(x) = 7x - 5 terdefinisi pada x ∈ [0, 5]. Maka domain dari fungsi tersebut adalah ...

Solution

The question in the image asks about the domain of the linear function f(x)=7x5f(x) = 7x - 5, where the function is defined for x[0,5]x \in [0, 5].

Solution:

The domain of a function refers to the set of all possible input values (values of xx) for which the function is defined.

In this case, it is already stated that the function is defined for x[0,5]x \in [0, 5]. Therefore, the domain is exactly [0,5][0, 5], meaning the possible values of xx range from 0 to 5, inclusive.

Thus, the correct answer is: A. [0, 5]

Would you like further details or explanations? Here are some related questions you might consider:

  1. What is the range of the function f(x)=7x5f(x) = 7x - 5 when x[0,5]x \in [0, 5]?
  2. How do you determine the domain of a more complex function?
  3. What changes to the domain would occur if the function were f(x)=1xf(x) = \frac{1}{x}?
  4. How can we graph the function f(x)=7x5f(x) = 7x - 5 for x[0,5]x \in [0, 5]?
  5. What is the significance of a domain restriction in real-world applications?

Tip: Always check whether a function has restrictions like divisions by zero or square roots of negative numbers when determining its domain.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Domain of a Function

Formulas

f(x) = mx + b

Theorems

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Suitable Grade Level

Grades 7-9