Question

If f(x)=5x+4, which of the following is the inverse of f(x)?

Answer 1

`Solution,\mathrm{Inverse\:of}\:5x+4:\quad (x-4)/(5)`

`Steps:`

`y=5x+4`

`\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y, x=5y+4`

`(\mathrm{Solve}\:x=5y+4\:\mathrm{for}\:y),(x=5y+4)`

`\mathrm{Switch\:sides}, 5y+4=x`

`\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}, 5y+4-4=x-4`

`\mathrm{Simplify}, 5y=x-4`

`\mathrm{Divide\:both\:sides\:by\:}5, (5y)/(5)=(x)/(5)-(4)/(5)`

`\mathrm{Simplify}, y=(x-4)/(5)`

`\mathrm{The\:Correct\:Answer\:is\:(x-4)/(5)}`

`\mathrm{Hope\:This\:Helps!!!}`

`\mathrm{-Austint1414}`