Domain and Range homework Help at TutorEye

# Best Homework Help For Domain and Range

## Top Questions

E.g. 5% charge on every 10% breach of the total breach of 102%. Any short summed-up formula?
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How far did he run on Tuesday? Enter your answer in the box as a fraction in simplest form.
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ou’ll be using the same 4 numbers written in the same order. The only thing that will change in each expression will be the tools you’ll use from your toolbox. The tools that you’ve learned so far for order of operations are parentheses, exponents, multiplying, dividing, adding, and subtracting. Here are the four numbers. Keep them in this order: 18 2 4 3 Here are the tools in your toolbox: The 2 and 3 represent exponents, so you are allowed to square or cube a number. Listed below are the values you need to create. 21 = 67 = -6 = 103 =
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profit of 20%. If his gain on the sale of one electronic item is rupees 4500 find the Marked price of the electronic item.
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## Domain and Range:

The domain of a function is the set of all the function's potential inputs.A domain is a collection of "all the values" that make up a function.Example, considered a function f(x) = 3x, then the domain is the all the possible values of   x = {1,2,3,..}.

The set of all the outputs of a function is its range.

Pre-images are domain items, whereas images are mapped co-domain(range) components.

In the above example, the range is {3,6,9,12,...}, all the possible output of function f(x).

## Domain and Range Sample Questions:

Question 1: Find the domain of f(x),

f(x) = 2x^2 + 4x + 2

(a) (-∞, +∞)

(b) (+2, -2)

(c) (-2, +2)

(d) (-2, -2)

Explanation: Here, {x|x∈R}

Question 2: Find the domain of f(x),

f(x)= 1/√x-5

(a) (-∞, +∞)

(b) (-∞, 5)

(c) (5, -∞)

(d) (5, ∞)

Explanation: Value of x is always greater than 5, x>5, x not equal to 5.

Question 3: f(x) = x^2 + 2

g(x) = √x-4

Find the domain of (fOg)(x)?

(a) (-4, +∞)

(b) (4, ∞)

(c) (-∞, 4)

(d) (∞, -4)

Explanation: We conclude that the value of x starts from 4 and goes to  infinity.

Question 4: Find the domain of f(g(x)),

f(x) =√x-4, g(x) = 3/(x - 9)

(a) (9, 21/2)

(b) (9, -21/2)

(c) (-9, 21/2)

(d) (-9, -21/2)

Explanation: Value of x: {x | 9 < x ≤ 21/2}

Question 5: Find the domain of f(g(x))

f(x) =3x - 4, g(x) = √x+2

(a) (-2, 2)

(b) (-2, ∞)

(c) (-∞, ∞)

(d) (-∞, 2)

Explanation: Value of x: {x | x ≥ -2}

Question 6: Find the range of f(x)

f(x) = 2x^2 + 4x + 2

(a) (0, -∞)

(b) (-∞, 0)

(c) (0, ∞)

(d) (-∞, ∞)

Explanation: {y | y ≥ 0}

Question 7: Find the range of f(x)

f(x) = 1/√x-5

(a) (0, ∞)

(b) (-∞, 0)

(c) (0, -∞)

(d) (-∞, ∞)

Explanation: {y | y > 0}

Question 8: Find the range of the function f(x) from the graph?

(a) (0, ∞), {y | y > 0}

(b) (-∞, 0), {y | y > 0}

(c) (0, ∞), {y | y ≥ 0}

(d) (-∞, 0), {y | y ≥ 0}

Explanation: Get it resolve from the Graph.

Question 9: Find the domain of the function f(x) from the graph?

(a) (-∞, ∞), {x | x ≠ 0}

(b) (-∞, 0)U(0, ∞), {x | x ≠ 0}

(c) (-∞, 0)U(0, ∞), {x | x = 0}

(d) (-∞, ∞), {x | x = 0}

Explanation: Get it resolve from the Graph.

Question 10: Find the domain and range of the function from the graph?