Find the domain and range of the function

MathematicsFunctionsEasy

Published: May 2, 2026

Question

(i) $f(x) = x + 7$

Animated Video Solution

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Step 1

In this problem, we are asked to find the domain and range of the function f of x equals x plus seven.

Step 2

Let's start by looking at the domain. The domain is the set of all possible input values for x.

Step 3

The function is a simple linear function. Notice that there are no square roots and no denominators that could cause division by zero.

$$f(x) = x + 7$$

Step 4

Because we can plug in any real number for x and get a valid output, the domain is the set of all real numbers.

D = \mathbb{R} \text{ or } (-\infty, \infty)

Step 5

Now, let's determine the range. The range is the set of all possible output values, which we call f of x or y.

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