since-f-z-z-1-find-f-1-z-

Question Number 129759 by mohammad17 last updated on 18/Jan/21

s i n c e f (z) = \sqrt{z - 1} f i n d f^{- 1} (z) ?

Answered by I want to learn more last updated on 18/Jan/21

y = \sqrt{z - 1}

y^{2} = z - 1

y^{2} + 1 = z

z = y^{2} + 1

f^{- 1} (z) = z^{2} + 1

Commented by Olaf last updated on 18/Jan/21

only for z ⩾ 0 sir .

D_{f} = [1; + \infty [and D_{f^{- 1}} = [0; + \infty [

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