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Let f:R to R be a function defined by f(...

Let `f:R to R` be a function defined by `f(x)=(x^(2)-8)/(x^(2)+2)`. Then f is

A

one-one but not onto

B

one-one and onto

C

one but not one-one

D

neither one-one nor onto

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-FUNCTIONS-Chapter Test
  1. If g(x)=1+sqrtx and f(g(x))=3+2sqrtx+x then f(x) is equal to

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  2. If f(x)=(1-x)/(1+x), x ne 0, -1 and alpha=f(f(x))+f(f((1)/(x))), then

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  3. Let f:R to R be a function defined by f(x)=(x^(2)-8)/(x^(2)+2). Then f...

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  4. Let f:(-oo,2] to (-oo,4] be a function defined by f(x)=4x-x^(2). Then,...

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  5. The inverse of the function of f:R to R given by f(x)=log(a) (x+sqrt(x...

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  6. f:R to R is defined by f(x)==(e^(x^(2))-e^(-x^(2)))/(e^(x^(2))+e^(-x^(...

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  7. If f(x)=log((1+x)/(1-x)), "then f "((2x)/(1+x^(2))) is equal to

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  8. If f(x)=(2^x+2^(-x))/2 , then f(x+y)f(x-y) is equals to

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  9. The function f:R to R given by f(x)=x^(2)+x is

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  10. Let f:R to R and g:R to R be given by f(x)=3x^(2)+2 and g(x)=3x-1 for ...

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  11. The function of f:R to R, defined by f(x)=[x], where [x] denotes the g...

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  12. Let f(x)=x, g(x)=1//x and h(x)=f(x) g(x). Then, h(x)=1, if

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  13. Let X and Y be subsets of R,the set of all real numbers. The function ...

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  14. If the functions of f and g are defined by f(x)=3x-4 and g(x)=2+3x the...

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  15. If f(x)=(sin^(4)x+cos^(2)x)/(sin^(2)x+cos^(4)x)"for "x in R, then f(20...

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  16. The function f: R -> R is defined by f(x) = cos^2x + sin^4x for x in R...

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  17. A = { x // x in R, x != 0, -4 <= x <= 4 and f: A -> R is defined by f...

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  18. If f:R to R and g:R to R are defined by f(x)=(2x+3) and g(x)=x^(2)+7, ...

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  19. Let f(x) be defined on [-2,2] and is given by f(x)={{:(,-1,-2 le x l...

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  20. The function f:RR -> RR defined by f(x) = 6^x + 6^(|x|) is

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