If f : R→R and F(x) =sin(π{x})X4+3×2+7, Where { } is a fractional part of x , then

# If f : R→R and F(x) =$\frac{\mathrm{sin}\left(\mathrm{\pi }\left\{\mathrm{x}\right\}\right)}{{\mathrm{X}}^{4}+3{\mathrm{x}}^{2}+7}$, Where { } is a fractional part of x , then

1. A

f is injective

2. B

f is not one -one and non -constant

3. C

f is a surjective

4. D

f is a zero function

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

f (x) = $\frac{\mathrm{sin}\left(\mathrm{\pi }\left\{\mathrm{x}\right\}\right)}{{\mathrm{X}}^{4}+3{\mathrm{x}}^{2}+7}$
Here , f (1 /2 )= f(-1 /2)
Clearly, f(x) is not one -one and also it is dependent on x.

## Related content

 Environment Pollution Paragraph Past Perfect Continuous Tense Patriotic Slogans by Freedom Fighters of India GK Questions and Answers on Solar System Past Perfect Tense Healthy Food Slogans Application for Bonafide Certificate Format and Samples Past Continuous Tense Leave Application For Teacher What is Surface Tension – Dimensions, Derivations, Causes and Examples

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)