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Let f(x)=sqrt(x-2), g(x)= sqrt(5-x) find...

Let `f(x)=sqrt(x-2)`, g(x)= `sqrt(5-x)` find f(x)+g(x), f(x)-g(x), f.g., (f/g)

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PATHFINDER-FUNCTION-QUESTION BANK
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  2. Find the range of the following function f(x)=sin^(-1)[x^2+1/2]+cos^(...

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  3. Let f(x)=sqrt(x-2), g(x)= sqrt(5-x) find f(x)+g(x), f(x)-g(x), f.g., (...

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  4. Find which of the following functions is even or odd ? f(x)=x^2+|sinx|...

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  5. Find which of the following functions is even or odd ? f(x)=log(x+sqrt...

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  6. Find which of the following functions is even or odd ? f(x)=log((a+x)/...

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  7. Find which of the following functions is even or odd ? f(x)=cos(1+cosx...

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  8. If f is an even function defined in the interval (-5,5), find four rea...

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  9. If f(x+y)+f(x-y)=2f(x).f(y)AA x,y in R. f(0)ne0, find if f(x) is even ...

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  10. Find whether the given function is even or odd function, where f(x)=(x...

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  11. If f:[-20,20]rarr R defined by f(x)=[x^2/a]sin x + cos x is an even fu...

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  12. Find the period of f(x)="sinx+tan"x/2+"sin"x/2^2"tan"x/2^3+...+"sin"x/...

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  13. Find the period of the real valued function satisfying f(x)+f(x+4)=f(x...

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  14. Let g(x)=1+x-[x] and f(x)=={(-1, x lt0),(0, x=0),(1, x gt 0):} Then fo...

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  15. Two functions are defined as under, f(x)={(x+1, x le1),(2x+1, 1ltxle2)...

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  16. If f:[1, infty)rarr[2, infty) given by f(x)=x+1/x then find f^(-1)(x),...

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  17. Let f:[1//2, infty)rarr[3//4, infty) where f(x)=x^2-x+1. Find the inve...

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  18. Let g(x) be the inverse of f(x) and f'(x)=1/(1+x^3). Then find g'(x) i...

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  19. If the function f:R rarr A is given by f(x)=(e^x-e^(-|x|))/(e^x+e^(|x|...

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  20. Let f:R rarr R defined by f(x)= x^2/(1+x^2). Prove that f is neither i...

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