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Domain of Functions

12 terms·StudBud Administration·1,120 plays

Test your knowledge on getting the domain of different functions

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Questions 12

Answers

1
Find the domain of the function: y=\sqrt{x^2-5x-14}
(-2, 7)
(-∞,-7)∪(2,+∞)
(-∞,-2]∪\left[7,+∞)\right]
(-7, 2)
2
Find the domain of the function: y=\sqrt{x^2-9}
(-∞,-3)∪(3,+∞)
x\ge3
x\ge9
(-∞,-3]∪[3,+∞)
3
Find the domain of the function below.
\left(-∞,-3\right)∪\left(1,+∞\right)
all real numbers
ℝ\backslash\left\{-3,-\frac{1}{2},1\right\}
ℝ\backslash\left\{-3,1\right\}
4
Find the domain of the function below
ℝ\backslash\left\{-4,3\right\}
ℝ\backslash\left\{-4,-3,3\right\}
ℝ\backslash\left\{-3\right\}
ℝ\backslash\left\{-4\right\}
5
Find the domain of the function below
\left(\frac{1}{2},4\right)∪\left(4,+∞\right)
\left[\frac{1}{2},4\right)∪\left(4,+∞\right)
\left[\frac{1}{2},+∞\right)
\left(\frac{1}{2},+∞\right)
6
Find the domain of the function below.
\left[-5,7\right)∪\left(7,+∞\right)
\left(-∞,-5\right]∪\left(7,+∞\right)
ℝ\backslash\left\{7\right\}
\left(-∞,-5\right]∪\left[7,+∞\right)
7
Find the domain of the function: y=\frac{x}{12-x}
x < 12
x > 12
all real numbers
x ≠ 12
8
Find the domain of the function below
\left[0,+∞\right)
\left(0,+∞\right)
all real numbers
\left(4,+∞\right)
9
Find the domain of the function: y=\sqrt{6x-12}
all real numbers
x\ge2
x\ge0
x > 2
10
Find the domain of the function below
\left(-∞,-1\right)∪\left(1,+∞\right)
\left[1,+∞\right)
ℝ\backslash\left\{-1\right\}
all real numbers
11
Find the domain of the function below
\left(-∞,-2\right]∪\left[2,+∞\right]
all real numbers
ℝ\backslash\left\{-2,\frac{5}{2},2\right\}
\left(-∞,-2\right]∪\left[2,\frac{5}{2}\right]
12
Find the domain of the function: y=3x+19
x\ge-\frac{19}{3}
all real numbers
x\le-\frac{19}{3}
x>-\frac{19}{3}