SOLUTION: What is the domain of the function f(x)=√(x-2)+3 (1) (-∞,∞) (2) (2,∞) (3) [2,∞) (4) [3,∞)

Algebra.Com
Question 291007: What is the domain of the function f(x)=√(x-2)+3
(1) (-∞,∞)
(2) (2,∞)
(3) [2,∞)
(4) [3,∞)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Ask yourself: what values am I not allowed to plug in? Remember that you cannot plug in negative values into a square root. So the 'x-2' term cannot be negative, which means that you're looking to exclude values that satisfy
RELATED QUESTIONS

What is the domain of standard exponential functions? a. x (0, ∞) b. x... (answered by jim_thompson5910)
9)Find the domain of the function. f(x)=|x-3| Is it: A. [0,∞) B.... (answered by Fombitz)
State the domain of the given function. f(x) = sqrt-x-2 possible answers... (answered by jsmallt9)
What is the domain and the range of this graph?... (answered by MathLover1)
1. let f(x) = ((2x-1)^2)/(2x^2) find: a. lim x->∞ b. lim x->-∞ c. lim (answered by Fombitz)
The solution set in interval notation of the inequality 16x-x^3≥0 is: A) [-4,... (answered by josgarithmetic)
Let f (x) = 1/x + 3 and g(x) = 3x/x + 3 Find f + g, f − g, f g, f/g and... (answered by Fombitz)
Question: The function f(x) is defined as f(x)= -4(x+2)squared-4. Which of the... (answered by Fombitz)
find the range of the function. h(x)=x^2/1-x^2 a. [5, ∞ ) b. (- ∞,... (answered by lwsshak3)