Fx-1-x2 is a function

The correct option is A False It's not a function, because the same value of x nbsp;results in two values of nbsp; f(x). For example if x=0, we get f(x)=∓1 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Definition of Function

fx=∓√1-x2 is ...

Question

$f (x) = \mp \sqrt{1 - x^{2}}$ is a function

True

No worries! We‘ve got your back. Try BYJU‘S free classes today!

False

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B
False

It's not a function, because the same value of x results in two values of $f (x)$ .

For example if $x = 0, we get f (x) = \mp 1$ , which should not occur since a function should give one output for one particular input.

Suggest Corrections

Similar questions

$f (x) = \mp \sqrt{1 - x^{2}}$ is a function

Q. A function f(x) is defined by

f (x) = \frac{[x^{2}] - 1}{x^{2} - 1}

for

x^{2} \neq 1

f (x) = f (- 1) = 0

,where

[x]

denotes greatest integer function, then

Q. If

f (x)

is a function of

x

such that

\frac{1}{(1 + x) (1 + x^{2})} = \frac{A}{1 + x} + \frac{f (x)}{1 + x^{2}}

for all

x ϵ R

then

f (x)

Q. A function f(x) is defined by

f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} \frac{[x^{2} - 1]}{x^{2} - 1} & f o r x^{2} \neq 1 0 & f o r x^{2} = 1 \end{matrix}

Discuss the contiuuity of f(x) at x=1.

Q. If

f (x) = \sqrt[3]{(1 - x^{2})} + \sqrt[3]{(1 + x^{2})},

then

f (x)

Join BYJU'S Learning Program

f(x)=∓√1−x2 is a function

The correct option is B False It's not a function, because the same value of x results in two values of f(x). For example if x=0, we get f(x)=∓1, which should not occur since a function should give one output for one particular input.

$f (x) = \mp \sqrt{1 - x^{2}}$ is a function

The correct option is B
False

It's not a function, because the same value of x results in two values of $f (x)$ .

For example if $x = 0, we get f (x) = \mp 1$ , which should not occur since a function should give one output for one particular input.