f: R->R is defined by f(x)=(e^x^2-e^-x^2...

`f: R->R` is defined by `f(x)=(e^x^2-e^-x^2)/(e^x^2+e^-x^2)` is (a) one-one but not onto (b) many-one but onto (c) one-one and onto (d) neither one-one nor onto

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The function f:R rarr R defined as f(x)=(3x^2+3x-4)/(3+3x-4x^2) is : (a) One to one but not onto (b) Onto but not one to one (c) Both one to one and onto (d)Neither one to one nor onto

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The function f:[0,3]->[1,29] , defined by f(x)=2x^3−15x^2+36x+1 , is (a) one-one and onto (b) onto but not one-one (c) one-one but not onto (d) neither one-one nor onto

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The function f : R rarr [ -1,1 ] defined by f(x) = cos x is (a) both one-one and onto (b) not one-one, but onto (c) one-one, but not onto (d) neither one-one, nor onto

The function f:[0,\ oo)->R given by f(x)=x/(x+1) is (a) one-one and onto (b) one-one but not onto (c) onto but not one-one (d) neither one-one nor onto

If f:NrarrN is given by f(x)={((x+1)/(2), if x " is odd"),((x)/(2),if x " is even"):} and g:NrarrN is given by g(x)=x-(-1)^x , then f(g(x)) is (a) one one and onto (b) many one and onto (c) one one and not onto (d) neither one-one onto

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