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If f: R-{7/5}->R-{3/5} be defined as f(x...

If `f: R-{7/5}->R-{3/5}` be defined as `f(x)=(3x+4)/(5x-7)` and `g: R-{3/5}->R-{7/5}` be defined as `g(x)=(7x+4)/(5x-3)` . Show that `gof=I_A` and `fog=I_B` , where `B=R-{3/5}` and `A=R-{7/5}` .

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Show that if f: R-{7/5}->R-{3/5} is defined by f(x)=(3x+4)/(5x-7) and g: R-{3/5}->R-{7/5} is define by g(x)=(7x+4)/(5x-3) , then fog=I_A and gof=I_B , where A=R-{3/5}, B=R-{7/5}; I_A(x)=x ,AAx in A , I_B(x)=x ,AAx in B are called ideal

Let f: R-{3/5}->R be defined by f(x)=(3x+2)/(5x-3) . Then

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If the function f : R rarr R be defined as f(x) = (3x + 4)/(5x-7), (x ne 7//5) and g : R rarr R be defined as g(x) = ( 7x + 4)/(5x - 3),(x ne 3//5) show that (g o f)(x) = (f o g)(x) .

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RD SHARMA ENGLISH-FUNCTION-All Questions
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  3. If f: R-{7/5}->R-{3/5} be defined as f(x)=(3x+4)/(5x-7) and g: R-{3/5}...

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  4. Find the derivative of f(x) = x^2- 3x + 2.

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  5. If f,g: R -R are defined respectively by f(x)=x^2+3x+1,g(x)=2x-3, fi...

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  6. Let f: Z->Z be defined by f(x)=x+2. Find g: Z->Z such that gof=IZ .

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  7. If f: Z->Z be defined by f(x)=2x for all x in Z . Find g: Z->Z such t...

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  8. Let f,\ g and h be functions from R to R . Show that (f+g)oh=foh+goh

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  9. Let f,\ g and h be functions from R to R . Show that (fog)oh=(foh)(goh...

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  10. Let f: R->R be the signum function defined as f(x)={1,\ x >0,\ \ \ \ 0...

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  11. Let A={x in R :0lt=xlt=1}dot If f: AvecA is defined by f(x)={x ,ifx i...

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  12. Let f: RvecR and g: Rvec be two functions such that fog(x)=sinx^2a n...

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  13. If f: R->R be given by f(x)=sin^2x+sin^2(x+pi//3)+cosx\ cos(x+pi//3) f...

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  14. Let f: ZvecZ be defined by f(n)=3n for all n in Z and g: Zvec be defi...

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  15. Let f: R->R be a function given by f(x)=a x+b for all x in R . Find t...

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  16. Let f: A->A be a function such that fof=f . Show that f is onto if and...

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  17. Let f,g: R-R be two functions defined as f(x)=|x|+x and g(x)=|x|-x , f...

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  18. Find gof and fog when f: R->R and g: R->R is defined by f(x)=2x+3 and ...

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  19. Find gof and fog when f: R->R and g: R->R is defined by f(x)=2x+x^2 an...

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  20. Find fog(2) and gof(1) when: f: R rarr R ;f(x)=x^2+8 and g: R rarr ...

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