snorBettesel snorBettesel

21-11-2016
Mathematics

Answered

find the inverse of f informally. verify that f(f^-1(x))=x and f^-1(f(x))=x

f(x)= (x-1)/5

Verified Answer :

alsteva alsteva

22-11-2016

Find inverse function.
\(f(x)= \frac{x-1}{5} \\y= \frac{x-1}{5} \\x= \frac{y-1}{5} \\y-1=5x \\y=5x+1 \\f^{-1}(x)=5x+1 \\ \\f(x)= \frac{x-1}{5} \\f^{-1}(x)=5x+1 \\ \\f(f^{-1}(x))=f(5x+1)= \frac{(5x+1)-1}{5} = \frac{5x}{5}= x \\ \\ f^{-1}(f(x))=f^{-1}(\frac{x-1}{5} )=5\frac{x-1}{5}+1=x-1+1=x\)

Answer Link

Related Questions

A Similarity between shinto in japan and animism in African societies is that both

Both African Americans and Mexican Americans had an especially difficult time during the Great Depression because they a Had little community and family support

A jar contains jelly beans that are red yellow blue and purple Several people reach in and grab handfuls of jelly beans then collectively tally the number of ea

Find values of x and y for which ABCD must be a parallelogram The diagram is not to scale a x 8 y 17 b x 6 y 8 c x 8 y 10 d x 8 y 6

witch of the following would NOT be a characteristic of a nationstate A Nationalism B Sovereignty C A National identity D numerous village kings

Which of the following factors contributed to the poor state of French finances in the ancien regime

Glaciers pick up large rocks and carry them away This is called

When one loses weight what happens to biomass lost

Rewrite the sentence to make it correct The Boston Massacre and the repeal of taxes under the Townshend Acts began huge protests across the colonies

Which statement is true about opinion polls A They can help officials gather useful feedback on specific issues but they can also influence officials to focus t

Web Analytics Made Easy - Statcounter