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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