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let `f(x)=sqrt(1+x^2)` thenA. ` f(xy)=f(x)*f(y)`B. `f(xy)gef(x)*f(y)`C. `f(xy)lef(x)*f(y)`D. None of these |
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Answer» Correct Answer - C We have, `f(x)=sqrt(1+x^(2))` `f(xy)=sqrt(1+x^(2)y^(2))` `f(x)*f(y)=sqrt(1+x^(2))*sqrt(1+y^(2))` `=sqrt((1+x^(2))(1+y^(2)))` `sqrt(1+x^(2)+y^(2)+x^(2)+y^(2))` `:. sqrt(1+x^(2)y^(2))lesqrt(1+x^(2)+y^(2)+x^(2)+y^(2))` `rArr f(xy)lef(x)*f(y)` |
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