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Consider f: Rrarr[-5, oo] given by f(x)...

Consider `f: Rrarr[-5, oo]` given by `f(x) = 9x^2 + 6x - 5`. Show that f is invertible with `f^(-1)(y)=[(sqrt(y+6)-1)/3]`

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
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  2. Let f : A rarr B and g : B rarr C be onto functions, show that gof is ...

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  3. Consider f: Rrarr[-5, oo] given by f(x) = 9x^2 + 6x - 5. Show that f ...

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  4. Consider f : R+ rarr (-9, infty) given by f(x) = 5x^2 + 6x - 9. Prove ...

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  5. Let f : R to R be the signum function defined as f(x) = {{:(1, x gt 0...

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  6. Let f: R rarr R be defined as f(X) = 3x. Then

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  7. Consider the function f(x) = (1-x)/(1+x). Is f one-one? If yes, find f...

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  8. If f : R rarr R is defined by f(x) = x^2 – 3x + 2, find f (f (x)).

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  9. If f : R rarr R is defined by f(x) = x^2 – 3x + 2, find f (f (x)).

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  10. If f : R rarr R is defined by f(x) = x^2 – 3x + 2, find f (f (x)).

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  11. Show that *:RxxRrarrR, given by (a,b)rarra+4b^2 is a binary operation...

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  12. Let a mapping '*' from R xx R to R be defined by a * b = 2 a + 2 b for...

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  13. Let a binary operation '*' be defined on Z by a * b = 2 a + 2b for all...

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  14. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  15. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  16. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  17. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  18. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  19. Consider the operations '*' and o+ on the set R of all real numbers de...

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  20. Consider the operations '*' and o+ on the set R of all real numbers de...

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