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Consider `F:R - {-4/3} -> R - {4/3}` Given by F(X) = `(4x + 3)/(3x + 4)`. Show that F Is Bijective. Find the Inverse of F and Hence Find `F^(-1) (0)` And X Such that `F^(-1) (X) = 2 - Mathematics

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Consider `f:R - {-4/3} -> R - {4/3}` given by f(x) = `(4x + 3)/(3x + 4)`. Show that f is bijective. Find the inverse of f and hence find `f^(-1) (0)` and X such that `f^(-1) (x) = 2`

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Solution

f(x) = `(4x + 3)/(3x + 4)`

Assume its not one – one

∴ x1 and x2 belonging to domain such that `f(x_1) = f(x_2)`

for every ‘y’ there is a x .

∴ it is onto

Concept: Inverse of a Function
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