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If the function f is defined by f(x) ...

If the function f is defined by
`f(x) = {{:(x+2, x gt 1),(2, -1 le x le 1),(x-1, -3 lt x lt -1):}`, then find the value of:
(i) f(3), (ii) f(0), (iii) `f(-1.5)`, (iv) `f(2) + f(-2)`, (v) `f(-5)`

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Verified by Experts

The correct Answer is:
`2=5`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-FUNCTIONS -TEXTUAL EXERCISES (EXERCISE-1 (A)
  1. If the function f is defined by f(x) = {{:(x+2, x gt 1),(2, -1 le x...

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  2. If the function f is defined by f(x) = {{:(x+2, x gt 1),(2, -1 le x...

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  3. If the function f is defined by f(x) = {{:(x+2, x gt 1),(2, -1 le x...

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  4. If the function f is defined by f(x) = {{:(x+2, x gt 1),(2, -1 le x...

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  5. If the function f is defined by f(x) = {{:(x+2, x gt 1),(2, -1 le x...

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  6. If f: R - {0} to R is defined by f(x) = x^(3)-1/(x^3), then S.T f(x) +...

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  7. If f: R to R is defined by f(x)=(1-x^(2))/(1+x^(2)) then show that f(t...

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  8. If f:R-(pm1)toR is defined by f(x)=log|(1+x)/(1-x)|, then show that f(...

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  9. If A={-2,-1,0,1,2} and f:A to B is a surjection defined by f(x)=x^(2)+...

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  10. If A = {1, 2, 3, 4} and f: A to R is a function defined by f(x) = (x^(...

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  11. If f(x+y)=f(xy)AAx,y in R then prove that f is a constane function.

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  12. If A={x:-1 le x le 1},f(x)=x^(2) and g(x)=x^(3), which of the followin...

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  13. If A = { x : -1 le x le 1}, g(x) = x^(3) , which of the following are...

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  14. Which of the following are one-one ,onto (or) bijections? Justify your...

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  15. f : R to (0, oo) defined by f (x) = 2 ^(x) . then f ^-1(x)

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  16. Determine whether the function f:(o,oo) to R defined by f(x) log(e)x i...

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  17. Determine whether the function f:R to [0,oo) defined by f(x)=x^(2) is ...

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  18. If f:[0,infty) to R defined by f(x) = x^(2), then f is

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  19. f: R to R defined by f (x) = x ^(2). then f^-1(x)

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  20. Is g={(1,1),(2,3),(3,5),(4,7)} is a function from A={1,2,3,4}. to B={1...

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