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The function `f` satisfies the functional equation `3f(x)+2f((x+59)/(x1))=10 x+30` for all real `x!=1.` The value of `f(7)i s` 8 (b) 4 (c) `-8` (d) 11

A

9

B

4

C

8

D

11

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The correct Answer is:
B
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DISHA PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE - 2
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  7. The domain of the function f(x)=sqrt(x^(2)-5x+6)+sqrt(2x+8-x^(2)) , ...

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  8. The real valued function f(x)=(a^x-1)/(x^n(a^x+1)) is even, then the v...

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  10. The domain of f (x) = log (|x - 2 | - 2 | - 1) is

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  12. Find the domain of the following functions: f(x)=sqrt((2/(x^2-x+1)-1/(...

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  13. Which of the following functions is even,

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  14. If f(1) = 1 and f(n + 1) = 2 f(n) + 1, if n ge 1, then f(n) is.

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  15. The range of the function f(x)= (x^2-x+1)/(x^2+x+1) where x in R, is

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  16. Verify that x sgnx=|x| |x|sgnx=x x(sgnx)(sgnx)=x

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  17. The domain of the function f (x) = 3sqrt((x)/(1 - |x|))

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  18. The domain of the function f(x) = sqrt(x^(14) - x^(11) + x^(6) - x^(...

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  19. If f is any function, then (1)/(2) [ f (x) + f(-x) ] is always

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  20. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x1))...

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