Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Find the inverse of f (x)=log(subscript 4) x

Sagot :

[tex]f(x)=\log_4x\\\\ y=\log_4x\\ x=4^y\\ f^{-1}(x)=4^x[/tex]
[tex]f\left( x \right) =\log _{ 4 }{ x } \\ \\ \log _{ 4 }{ x } =y\\ \\ { 4 }^{ y }=x\\ \\ \therefore \quad { f }^{ -1 }\left( x \right) ={ 4 }^{ x }[/tex]