Question and Answers Forum

All Questions      Topic List

None Questions

Previous in All Question      Next in All Question      

Previous in None      Next in None      

Question Number 165808 by ZiYangLee last updated on 08/Feb/22

$$\mathrm{Which}\mathrm{of}\mathrm{the}\mathrm{following}\mathrm{is}\mathrm{an}\mathrm{even}\mathrm{function}?$$$$\mathrm{A}.f_1\left(x\right)=\frac{\sin x}{3^x+3^{-x}}\mathrm{B}.f_2\left(x\right)=\frac{\cos x}{3^x+3^{-x}}$$$$\mathrm{C}.f_3\left(x\right)={\log }_{10}(x+\sqrt{x^2+1})$$$$\mathrm{D}.f_4\left(x\right)=\frac{x^2}{{10}^x-1}$$

Answered by Rasheed.Sindhi last updated on 08/Feb/22

$$\mathrm{B}.f_2(-x)=\frac{\cos (-x)}{3^{-x}+3^{-(-x)}}=\frac{\cos x}{3^x+3^{-x}}=f_2\left(x\right)$$$$\therefore f_{2}isanevenfunction.$$$$$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com