Find the inverse of the function f : R → R defined by f(x) = ax + b,

1.	Find the inverse of the function f : R → R defined by f(x) = ax + b, (a ≠ 0), a, b ∈ R.
Answer» Given f(x) = ax + b Let f(x) = y Then ax + b = y ⇒ ax = y – b Since a ≠ 0 ⇒ x = y - b/a ⇒ f^-1(y) = y - b/a Hence f^-1(x) = x - b/a

Find the inverse of the function f : R → R defined by f(x) = ax + b, (a ≠ 0), a, b ∈ R.

Answer»

Given f(x) = ax + b

Let f(x) = y

Then ax + b = y

⇒ ax = y – b

Since a ≠ 0

⇒ x = y - b/a

⇒ f^-1(y) = y - b/a

Hence f^-1(x) = x - b/a

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Find the inverse of the function f : R → R defined by f(x) = ax + b, (a ≠ 0), a, b ∈ R.

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