f-x-1-x-1-ln-2-4-Domain-f-x-

Question Number 204273 by mustafazaheen last updated on 10/Feb/24

f (x) = \frac{1}{{(x - 1)}^{\ln (\frac{2}{4})}}

Domain f (x) = ?

Answered by Mathspace last updated on 11/Feb/24

f (x) = \frac{1}{{(x - 1)}^{l n (\frac{1}{2})}} = \frac{1}{{(x - 1)}^{- l n 2}}

= {(x - 1)}^{l n 2} = e^{l n 2 l n (x - 1)} \Rightarrow

D_{f} =] 1, + \infty [e n g e n e r a l

l a f o n c t i o n x \to x^{a} e s t d e f i n i e

p o u r x > 0 (s u r R)