Question

Find the rule of the inverse function of...

Answer 1

\[f(x)=1-\frac{1}{\sqrt{4-x}}\]

Answer 2

equalise f(x)=y
bring the RHs part in terms of y

Answer 3

I tried but it all got confusing and I think I got the wrong answer :S

Answer 4

y=1-1/root(4-x)
1-y=1/root(4-x)
net u try
bring interms of y

Answer 5

Thanks I'll try again

Answer 6

\[y=1-\frac{1}{\sqrt{4-x}} \implies \frac{1}{\sqrt{4-x}} = 1-y \implies \frac{1}{4-x} = (1-y)^2\implies 4 - x = \frac{1}{(1 - y)^2}\]

\[x = 4 - \frac{1}{(1-y)^2}\]

Answer 7

Thank you

Answer 8

Welcome dear..