Question

Find the domain and range of-
f(x)= sqrt(x+4)

​

Answer 1

Step-by-step explanation:

The domain is all the x values where a function is defined. In this case the given function is defined as long as the value under the square root sign is greater than or equal to zero, thus:

f

(

x

)

=

√

x

−

4

+

2

The domain:

x

−

4

≥

0

x

≥

4

In interval form:

[

4

,

∞

)

The range is the all the values of a function within its valid domain, in this case the minimum value for x is 4 which makes the square root part zero, thus:

The range:

y

≥

2

In interval form:

[

2

,

∞

)