What are the domain and range of the function?

Mathematics

1 answer:

soldier1979 [14.2K]2 years ago

3 0

The domain of f(x) = √(x - 7) +9 is x ≥ 7 and the range of f(x) = √(x - 7) +9 is y ≥ 9

<h3>How to determine the domain and the range?</h3>

The function is given as:

f(x) = √(x - 7) +9

Set the radicand greater than or equal to 0

x - 7 ≥ 0

Add 7 to both sides

x ≥ 7

The above represents the domain

Set the radicand to 0

f(x) = 0 +9

So, we have

f(x) = 9

This represents the minimum value of the range.

So, the range is y ≥ 9

Hence, the domain of f(x) = √(x - 7) +9 is x ≥ 7 and the range of f(x) = √(x - 7) +9 is y ≥ 9

Read more about domain and range at:

brainly.com/question/10197594

#SPJ1

You might be interested in

When choosing a new class color, 90 students voted for crimson and 60 voted for royal blue. What percent of these students voted

neonofarm [45]

The percentage of students voted for colour crimson
=
$\frac{90}{60 + 90} \times 100\% \\ = \frac{90}{150} \times 100\%\\ = \frac{9}{15} \times 100\% \\ = 60\%$
hope it helps!

6 0

3 years ago

Consider isosceles ΔXYZ.

Rom4ik [11]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of the legs XY and YZ is equal to 39 units.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°. An isosceles triangle has two sides out of three equal.

A.) The value of n can be found by equating XY and XZ together,

XY = XZ

9n + 12 = 15n - 6

12 + 6 = 15n - 9n

18 = 6n

n = 3

Hence, the value of n is 3.

The length of different legs of the triangle is,

B.) XY = 9n + 12 = 9(3) + 12 = 27 + 12 = 39

C.) YZ = 15n - 6 = 15(3) - 6 = 45 - 6 = 39

Hence, the length of the legs XY and YZ is equal to 39 units.

Learn more about Triangle: