SOLUTION: What is the domain and the range of f(x) = square root of (3x - 5)?

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Question 936857: What is the domain and the range of f(x) = square root of (3x - 5)?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
3x-5 must be non-negative.

f%28x%29=sqrt%283x-5%29

3x-5%3E=0
3x%3E=5
x%3E=5%2F3

f(x) never reaches a limit; it continues to increase but the increase in value gets smaller. No vertical asymptote.

DOMAIN: Real numbers such that x%3E=5%2F3.
RANGE: Real numbers f%28x%29%3E=0 or all non-negative real numbers.

graph%28250%2C250%2C-2%2C10%2C-2%2C10%2Csqrt%283x-5%29%29
The graph curve is supposed to touch the x-axis.