Question

What is the domain and range of g(x)=-|x|

Answer 1

Step-by-step explanation:

The Domain of g(x) = -|x| is all real numbers (no restrictions on what values x can take).

The Range of g(x) = -|x| is all real numbers less than or equal to zero. Absolute value of any real number is always greater than or equal to zero, and multiplying by a negative sign, that flips the sign of the result. So, g(x) will always be less than or equal to zero.

Domain: (-∞, ∞), x ∈ R

Range: (-∞, 0), {y ≤ 0}

Answer 2

Step-by-step explanation

Domain :

x

>

4

, in interval notation :

(

4

,

∞

)

Range:

g

(

x

)

∈

R

, in interval notation :

(

−

∞

,

∞

)

Step-by-step explanation:

g

(

x

)

=

ln

(

x

−

4

)

;

(

x

−

4

)

>

0

or

x

>

4

Domain :

x

>

4

, in interval notation :

(

4

,

∞

)

Range: Output may be any real number.

Range:

g

(

x

)

∈

R

, in interval notation :

(

−

∞

,

∞

)

graph{ln(x-4) [-20, 20, -10, 10]} [Ans] x>4