Q52 of 70 Page 11

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)]


⇒


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