Question

Please help Solve |f−6|=|f+8|

Answer 1

$Solution, solve\:for\:f,\:\left|f-6\right|=\left|f+8\right|\quad :\quad f=-1$

$Steps:$

$\left|f-6\right|=\left|f+8\right|$

$\mathrm{Test\:each\:absolute\:for\:its\:positive\:and\:negative\:ranges},\\f-6\ge \:0\:\mathrm{for}\:f\ge \:6,\:\quad \mathrm{therefore\:for}\:f\ge \:6\quad \left|f-6\right|=f-6,\\f-6$

$\mathrm{Evaluate\:the\:expression\:in\:the\:following\:ranges:}\\f$

$\mathrm{For:}\:f$

$\mathrm{For:}\:-8\le \:f$

$\mathrm{For:}\:f\ge \:6,\\\mathrm{Replace:}\:\left|f-6\right|\:\mathrm{with}\:\left(f-6\right),\\\mathrm{Replace:}\:\left|f+8\right|\:\mathrm{with}\:\left(f+8\right),\\f-6=\left(f+8\right)\quad :\quad \mathrm{No\:Solution\:for\:f\in \mathbb{R}}$

$\mathrm{Combine\:the\:ranges}, \\\left(-8\le \:f$

$\mathrm{The\:Correct\:Answer\:is\:f=-1}$

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

$\mathrm{-Austint1414}$

Answer 2

Answer:

Im Pretty Sure This Is The Answer f = -1

Step-by-step explanation: