Fill in the blanks in each of the
If f (x) = {4 – (x–7)3}, then f–1(x) = _______.
Given that, f (x) = {4 – (x–7)3}
Let f(x) = y,
⇒ y = {4 – (x–7)3}
⇒ y – 4 = – (x–7)3
⇒ 4 – y = (x–7)3
⇒ (x–7)3 = 4 – y
⇒
⇒ [∵ f(x) = y, ⇒ x = f-1(y)]