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Examine whether the folloiwng pair of fu...

Examine whether the folloiwng pair of function are identical or not: `f(x)=sgn(x)` and `g(x)={(x/(|x|),x!=0),(0,x=0):}`

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RESONANCE ENGLISH-RELATION, FUNCTION & ITF-SSP
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  2. Examine whether the following functions are one-one, many-one or into,...

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  3. Examine whether the folloiwng pair of function are identical or not: f...

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  4. Examine whether the folloiwng pair of function are identical or not: f...

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  5. Define fog(x) and gof(x). Also find their domain and range. (i) f(x) =...

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  6. Define fog(x) and gof(x). Also find their domain and range. f(x) = tan...

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  7. f(x)=e^x : R^+ ->R and g(x)=x^2-x : R->R Find domain and range of fog...

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  10. Determine whether the following function are even/odd/neither even nor...

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  11. Determine f^(-1)(x), if given function is invertible. f:(-oo,1)to(-o...

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  12. Find the value of : cos[(pi)/3-"sin"^(-1)(-1/2)]

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  13. Find the value of : cosec[sec^(-1)(sqrt(2))+cot^(-1)(1)]

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  14. Find the domain of the following y = sec^(-1) ( x^(2) + 3x + 1)

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  15. Find the domain of: y=sin^(-1)((x^(2))/(1+x^(2)))

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  16. Find the domain of: y=cot^(-1)(sqrt(x^(2)-1))

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  17. Range of f(x)=sin^(- 1)x+sec^(- 1)x is

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  18. Find the range of sin^(-1)sqrt(x^(2)+x+1)

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  19. Evaluate the following : cos { sin ( sin^(-1) . pi/6)}.

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  20. Find the value of : sin{cos("cos"^(-1)(3pi)/4)}

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