What is the domain of the function f/x )= √ 4 x 2?

Your domain is all the legal (or possible) values of x , while the range is all the legal (or possible) values of y . So your domain is [−2,2] .

What is the domain of the function f/x )= √ 4 x?

The domain is the set of x -values that can be used to draw the function so, You are unable to get a square-root of a negative number therefore the value under the square root must be ≥0 . Therefore we need all of the x -values that result in the value of 4−x being ≥0 .

How do you find the domain of a function with a square root?

A radical function is expressed as f(x)=√x f ( x ) = x , (usually just referred to as the “square root function”) is a function that maps the set of non-negative real numbers onto itself. To determine the domain of a radical expression, set the radicand equal to zero, then solve for x .

What is the domain of root 4 x Square?

Now select a test point, let it be x=0 . Then y=√4−02=2 , so the function is defined on [−2,2[ . Thus, the graph of y=√4−x2 is a semicircle with radius 2 and domain [−2,2] . Hopefully this helps!

What is the domain of the following function f X?

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

What is the domain of √ X 2?

Set the radicand in √x+2 greater than or equal to 0 to find where the expression is defined. Subtract 2 from both sides of the inequality. The domain is all values of x that make the expression defined. The range of a negative even indexed radical starts at its starting point (−2,0) and extends to negative infinity.

What is the domain of f/x )=- 3 X?

Algebra Examples The domain of the expression is all real numbers except where the expression is undefined.

How do we find the domain of a function?

The domain of a function is the set of numbers that can go into a given function. In other words, it is the set of x-values that you can put into any given equation. The set of possible y-values is called the range….Here’s how you do it:

1. f(x) = 2x/(x2 – 4)
2. x2 – 4 = 0.
3. (x – 2 )(x + 2) = 0.
4. x ≠ (2, – 2)

What is the domain of FX?

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

What is the domain of the function defined by f(x)?

The domain of the function f defined by f(x) = √(4 – x) + 1/√(x2 – 1) is equal to A. (- ∞, – 1) ∪ (1, 4] – 1) ∪ [1, 4] D. (- ∞, – 1) ∪ [1, 4) Login

How do you find the domain of a function with square roots?

Finding Domain of a Function with a Square root in the numerator and denominator h (x)>0 h(x) > 0. 3-x 3 − x. To overcome this problem we will make the denominator +ve by multiplying the numerator and denominator by (3-x)

What is the domain of a quadratic function?

Then the domain of a function is the set of all possible values of x for which f(x) is defined. The domain of a function f(x) is expressed as D(f) . We suggest you to read how to find zeros of a function and zeros of quadratic function first.

What is the domain of a real-valued function?

f (x) f (x) be a real-valued function. Then the domain of a function is the set of all possible values of x x for which f (x) f (x) is defined.