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Inequalities of Integrals

23. Prove tha...

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23. Prove that f:R>R defined as f(x) = x+4x+5 is one one

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Q. prove that function "f" defined as

f : R - (- 2) \to R - 1, f (x) = \frac{x}{x + 2}

is one - one and onto. Also find

f^{- 1}

Q. Prove that the function

f : R \to R

f (x) = (x^{2} + 1)^{35}

is not one one.

f : R \to R

f (x) = 2 x + | x |

f (2 x) - f (- x) - 4 x =

Q. Show that the function

f : R \to R

f (x) = x^{2}

, is not one-one.

Q. Prove that the function

f : R \to R

f (x) = 4 x + 3,

is invertible and find the inverse of

f .

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