Math, asked by harpreet9853, 10 months ago

The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, StartRoot negative x EndRoot, is not necessarily undefined and what this means about the domain and range of f(x) = StartRoot negative x EndRoot.

Answers

Answered by pooshimama
7

Answer:

Step-by-step explanation:

Any number times itself is a positive number (or zero), so you can't ever get to a negative number by squaring. Since square roots undo squaring, negative numbers can't have square roots.

Answered by lublana
4

Answer with Step-by-step explanation:

Given:

f(x)=\sqrt{-x}

The given function is  undefined on real number set .

Substitute x=-1

f(-1)=\sqrt{-(-1)}=1

Substitute x=-2

f(-2)=\sqrt{-(-2)}=2

It is defined for negative value of x and zero.

Substitute x=1

f(1)=\sqrt{-1}=Not defined

The f(x) is not defined for positive value of x .

Domain of f(x)=(-\infty,0]

Range=[0,\infty)

#Learn more:

https://brainly.in/question/7165143

Similar questions