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

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

Steps:

y=5x+4

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

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

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

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

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

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

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

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

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

$\mathrm{-Austint1414}$

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