Let f :R → R be the function defined by f (x) = 2x – 3 ∀ x ∈ R. write f^–1.

Question

Let f :R → R be the function defined by f (x) = 2x – 3 ∀ x ∈ R. write f –1 .

Philoid · Accepted Answer

Given that f(x) = 2x-3

Let f(x) = y, then 2x-3 = y

⇒

⇒ [∵ f(x) = y, ⇒ x = f^-1(y)]

Hence, f^-1 : R → R is given by

Let f :R → R be the function defined by f (x) = 2x – 3 ∀ x ∈ R. write f–1.