Question

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

Answer 1

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Step-by-step explanation:

Answer 2

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

$Steps:$

$y=5x+4$

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

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

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

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

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

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

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

$\mathrm{The\:Correct\:Answer\:is\:\frac{x-4}{5}}$

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

$\mathrm{-Austint1414}$