Question

Find the domain and range of f(x)=√9-x^2

Answer 1

Answer:

Domain [-3, 3]

Range [0, 3]

Step-by-step explanation:

Concept is written....

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Answer 2

Given,

A function f(x) = √(9-x²)

To Find,

The domain and range of the function.

Solution,

Since we know that any value contained in √ is always greater than or equal to 0.

So,

(9-x²)≥0

9≥x²

-3≤x≤3

So, the domain of the function is [-3,3].

Now,

For calculating the range of the function we need to calculate the minimum and maximum value of the function.

So, putting x = 3

√(9-9) = 0

putting x = 0

√9-0 = 3

So, the range of the function is [0,3]

Hence, the domain of the function is [-3,3] and the range of the function is [0,3].