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What is the domain of the function f(x) = sqrt(x - 1)?
What is the domain of the function f(x) = sqrt(x - 1)?
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Practice Questions
1 question
Q1
What is the domain of the function f(x) = sqrt(x - 1)?
x >= 1
x > 1
x <= 1
x < 1
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The expression under the square root must be non-negative, so x - 1 >= 0, hence x >= 1.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the domain of the function f(x) = sqrt(x - 1)?
Solution:
The expression under the square root must be non-negative, so x - 1 >= 0, hence x >= 1.
Steps: 5
Show Steps
Step 1: Identify the function, which is f(x) = sqrt(x - 1).
Step 2: Understand that the square root function is only defined for non-negative numbers.
Step 3: Set up the inequality for the expression under the square root: x - 1 >= 0.
Step 4: Solve the inequality by adding 1 to both sides: x >= 1.
Step 5: Conclude that the domain of the function is all x values that are greater than or equal to 1.
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