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The function f: R->R defined by f(x)=6^x...

The function `f: R->R` defined by `f(x)=6^x+6^(|x|)` is (a) one-one and onto (b) many one and onto (c) one-one and into (d) many one and into

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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

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If a function f:[2,\ oo)->R defined by f(x)=(x-1)(x-2)(x-3) is (a) one-one but not onto (b) onto but not one-one (c) both one and onto (d) neither one-one nor onto

RD SHARMA ENGLISH-FUNCTION-All Questions
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  2. Let f: Z->Z be given by f(x)={x/2,\ if\ x\ i s\ e v e n,0,\ if\ x\ i s...

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  3. The function f: R->R defined by f(x)=6^x+6^(|x|) is (a) one-one and on...

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  4. Let f(x)=x^2 and g(x)=2^x . Then the solution set of the equation fo...

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  6. If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2 , then (a).f(x)=sin^2x ,g...

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  7. The inverse of the function f: Rvec{x in R : x<1} given by f(x)=(e^x-...

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  8. If the function f:(1,oo) vec (1,oo) is defined by f(x)=2^(x(x-1)),t h ...

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  11. If the function f: R->R be such that f(x) = x-[x], where [x] denotes t...

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  12. If F :[1,oo)vec[2,oo) is given by f(x)=x+1/x ,t h e nf^(-1)(x) equals....

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  13. Let g(x)=1+x-[x]a n df(x)={-1, x<0;0, if x=0;1, ifx >0 . Then for all ...

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  15. The distinct linear functions which map [-1, 1] onto [0, 2] are f(x...

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  18. Let [x] denote the greatest integer less than or equal to x . If f(x...

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  19. If g(x)=x^2+x-2a n d1/2gof(x)=2x^2-5x+2, then which is not a possible ...

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  20. If f(x)=sin^2x and the composite function g(f(x))=|sinx| , then g(x)...

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