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Let f(x)=x^2+x+1 and g(x)=sinx . Show th...

Let `f(x)=x^2+x+1` and `g(x)=sinx` . Show that `fog!=gof` .

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RESONANCE ENGLISH-RELATION, FUNCTION & ITF-SUBJECTIVE_TYPE
  1. Check whether following pairs of function are identical or not? f(x)...

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  2. Find for what values of x the following functions would be identical. ...

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  3. Let f(x)=x^2+x+1 and g(x)=sinx . Show that fog!=gof .

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  4. Let f(x) = x^2, g(x) = sin x, h(x) =sqrtx, then verify that [fo(goh)] ...

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  5. Find fog and gof if: f(x)=e^(x),g(x)=lnx

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  6. Find fog and gof , if f(x)=|x| , g(x)=sinx

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  7. Find fog and gof if: f(x)=sinx,g(x)=x^(2)

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  8. Find fog and gof , if f(x)=x^2+2 , g(x)=1-1/(1-x)

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  9. If f(x) = ln(x^2 - x + 2) ; RR^+ rarr RR and g(x) = {x} + 1; [1, 2] ra...

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  10. If f(x)={ 1+x^2 ; x<=1 ,x+1; 1< x<=2 and g(x)=1-x ; -2<=x<=1 then d...

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  11. If f(x)=(x+2)/(x+1)and g(x) =(x-2)/x, then find the domain of fog(x)

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  12. If f(x)={(sqrt(2)x,xepsilonQ-{0}),(3x,xepsilonQ^(c)):} then define fof...

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  13. Let f(x)={(x+1,xle4),(2x+1,4ltxle9),(-x+7,xgt9):} and g(x)={(x^(2),-1...

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  14. If f(x)=(4^(x))/(4^(x)+2), then show that f(x)+f(1-x)=1

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  15. Determine whether the following functions are even or odd or neither e...

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  16. Determine whether the following functions are even or odd or neither e...

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  17. Determine whether the following functions are even or odd or neither e...

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  18. Determine whether the following functions are even or odd or neither e...

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  19. Determine whether the following functions are even or odd or neither e...

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  20. Determine whether the following functions are even or odd or neither e...

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