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If f(x)=(1−x)^(1/2) and g(x)=ln(x) the...

If `f(x)`=`(1−x)^(1/2)` and `g(x)=ln(x)` then the domain of `(gof)(x)` is

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the domain of the function: f(x)=(sin^(-1)x)/x

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  2. If f(x)=3x-5, then f^(-1)(x) is given by (a) 1/((3x-5)) (b) ((x+5))...

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  3. If f(x)=(1−x)^(1/2) and g(x)=ln(x) then the domain of (gof)(x) is

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  4. Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

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  5. Find the natural no. a for which sum (k=1)^nf(a+k)=16(2^n-1) where the...

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  6. Let f(x)=tanx a n d g(f(x))=f(x-pi/4), where f(x)a n dg(x) are real ...

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  7. Find the range of f(x)=tan^(-1)sqrt((x^2-2x+2))

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  8. The domain of f(x) is (0,1) Then the domain of (f(e^x)+f(1n|x|) is (...

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  9. If f(x)=3x-2a n d(gof)^(-1)(x)=x-2, then find the function g(x)dot

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  10. Find the range of f(x)=sqrt(cos^(-1)sqrt((1-x^2))-sin^(-1)x)

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  11. The domain of f(x)=1/(sqrt(|cosx|+cosx)) is

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  12. If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x)...

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  13. Find the domain of the function: f(x)=cos^(-1)((6-3x)/4)+cos e c^(-1)(...

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  14. If f(2x+3y, 2x-7y)=20x, then f(x,y) equals :

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  15. Solve the equation x^2-x+1=1/2+sqrt(x-3/4), w h e r e xgeq3/4

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  16. Find the domain of the function: f(x)=sqrt(sec^(-1)((2-|x|)/4))

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  17. Let X={a1, a2,.. ,a6}a n dY={b1, b2,b3}dot The number of functions f f...

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  18. Find the inverse of f(x)={(x ,, x<1),(x^2 ,, 1lt=xlt=4), (8sqrt(x) ,,...

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  19. Write the equivalent definition and draw the graphs of the following ...

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  20. The range of f(x)=[sinx+[cosx+[tanx+[secx]]]],x in (0,pi/4),w h e r e ...

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