document.write( "Question 1006064: Can somebody show me step by step on this problem. The directions are Determine whether the function is one-to-one by graphing and using the horizontal line test and if it is one-to-one, find a formula for the inverse. The problem is f(x)=x-10/x+6. \n" ); document.write( "

Algebra.Com's Answer #622427 by rothauserc(4718) $\"\"$ $\"About$

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the graph of the equation f(x) = (x-10) / (x+6)
\n" ); document.write( " $\"graph%28300%2C+200%2C-20%2C+20%2C+-10%2C+10%2C+%28x-10%29+%2F+%28x%2B6%29%29\"$
\n" ); document.write( "drawing a horizontal line indicates a single point of intersection, therefore the function is one-to-one
\n" ); document.write( "solve function for x
\n" ); document.write( "y = (x-10) / (x+6)
\n" ); document.write( "yx + 6y = x - 10
\n" ); document.write( "yx - x = -6y - 10
\n" ); document.write( "x(y-1) = -6y - 10
\n" ); document.write( "x = -(6y + 10) / (y - 1)
\n" ); document.write( "interchange the x's and y's
\n" ); document.write( "y = -(6x + 10) / (x - 1), therefore
\n" ); document.write( "f-1(x) = -(6x+10) / (x-1)
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