document.write( "Question 1073268: If f(x) =-10x - 6, what is f -1(x)? \n" ); document.write( "
Algebra.Com's Answer #688104 by Theo(13342)\"\" \"About 
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you are looking for the inverse function.\r
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\n" ); document.write( "\n" ); document.write( "let y = f(x).\r
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\n" ); document.write( "\n" ); document.write( "your equation becomes y = -10x - 6\r
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\n" ); document.write( "\n" ); document.write( "replace y with x and x with y and then solve for y.\r
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\n" ); document.write( "\n" ); document.write( "replacing y with x and x with y gets you x = -10y - 6\r
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\n" ); document.write( "\n" ); document.write( "solve this equation for y as follows:\r
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\n" ); document.write( "\n" ); document.write( "start with x = -10y - 6\r
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\n" ); document.write( "\n" ); document.write( "add 6 to both sides to get x + 6 = -10y\r
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\n" ); document.write( "\n" ); document.write( "divide both sides by -10 to get y = (x + 6) / -10\r
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\n" ); document.write( "\n" ); document.write( "if this is the inverse equation, then the point (x,y) in the original equation will be equal to the point (y,x) in the inverse equation.\r
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\n" ); document.write( "\n" ); document.write( "to confirm that, let x be any value and then solve for y in the original equation.\r
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\n" ); document.write( "\n" ); document.write( "for example, let x = 1 in the original equation.\r
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\n" ); document.write( "\n" ); document.write( "y = -10x - 6 becomes y = -10 * 1 - 6 which becomes y = -10 - 6 which becomes y = -16.\r
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\n" ); document.write( "\n" ); document.write( "your coordinate point from the first equation is (1,-16).\r
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\n" ); document.write( "\n" ); document.write( "the corresponding coordinate point in the inverse equation will be (-16,1).\r
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\n" ); document.write( "\n" ); document.write( "your inverse equation is y = (x+6)/-10.\r
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\n" ); document.write( "\n" ); document.write( "replace x with -16 and you get y = (-16 + 6)/ -10.\r
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\n" ); document.write( "\n" ); document.write( "simplify to get y = -10 / -10.\r
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\n" ); document.write( "\n" ); document.write( "solve for y to get y = 1.\r
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\n" ); document.write( "\n" ); document.write( "your corresponding point in the inverse equation is (-16,1).\r
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\n" ); document.write( "\n" ); document.write( "(x,y) in the original equation becomes (y,x) in the inverse equation.\r
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\n" ); document.write( "\n" ); document.write( "(1,-16) in the original equation becomes (-16,1) in the inverse equation.\r
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