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If y=f(x)=((x+2))/((x-1)),t h e n (a) x...

If `y=f(x)=((x+2))/((x-1)),t h e n` (a)` x=f(y)` (b) `f(1)=3` (c)`y` increases with `x`for`x<1` (d)`f` is a rational function of `x`

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
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  2. Find the equivalent definition of f(x)=max{x^2,(1-x)^2,2x(1-x)}where ...

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  3. If y=f(x)=((x+2))/((x-1)),t h e n (a) x=f(y) (b) f(1)=3 (c)y increa...

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  4. Find the period of (|sin4x|+|cos4x|)/(|sin4x-cos4 x|+|sin4x+cos4x|)

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  5. Consider the function: f(x)=m a xdot{1,|x-1|, min {4,|3x-1|}}AAx in ...

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  6. Let g(x) be a function defined on[-1,1]dot If the area of the equila...

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  7. Find the domain of the function: f(x)=cos^(-1)(1+3x+2x^2)

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

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  9. The domain of the function f(x)=sin^(-1)(x-3)/sqrt(9-x^2) is

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  10. If f(x)=cos[pi^2]x +cos[-pi^2]x , where [x] stands for the greatest in...

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  11. Find the period of f(x)=sin((pix)/(n !))-cos((pix)/((n+1)!))

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  12. Find the domain of the function: f(x)=(sin^(-1)x)/x

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

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

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

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

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

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

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

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