MyQuestionIcon

1

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

Continuity in an Interval

Let f: ℝ→ℝ be...

Question

Let $f : R \to R$ be defined by $f (x) = \frac{1}{x} \forall x \in R,$ then $f$ is

A

one-one

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

B

onto

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

C

bijective

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

D

f

is not defined

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

Open in App

Solution

The correct option is D $f$ is not defined
$f$ is not defined for $x = 0$
$∴ f$ is not defined on $R .$

Suggest Corrections

thumbs-up

1

Similar questions

f : R \to R

f (x) = \frac{x}{1 + x^{2}}, x \in R .

Then the range of

f

f : R \to R

f (x) = 2 x + | x |

f (2 x) + f (- x) - f (x)

f : R - {0} \to R

be a function defined by

f (x) = x - \frac{1}{x} .

f

a, b \in R

f : R \to R

f (x) = a cos (| x^{3} - x |) + b | x | sin (| x^{3} + x |) .

f

a, b ϵ R

f : R \to R

f (x) = a c o s (| x^{3} - x |) + b | x | s i n (| x^{3} + x |)

f

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Continuity in an Interval

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Continuity in an Interval

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon