document.write( "Question 175584: Verify that the function g(z)=(x-2)/5 is the inverse function of f(x)=5x+2. Show your work. \n" ); document.write( "

Algebra.Com's Answer #130665 by Fombitz(32388) $\"\"$ $\"About$

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To find the inverse, switch to x,y notation.
\n" ); document.write( " $\"+f%28x%29=5%2Ax%2B2+\"$
\n" ); document.write( " $\"+y=5%2Ax%2B2\"$
\n" ); document.write( "Now interchange x and y and solve for y.
\n" ); document.write( " $\"+y=5%2Ax%2B2\"$
\n" ); document.write( " $\"+highlight%28x%29=5%2Ahighlight%28y%29%2B2\"$
\n" ); document.write( " $\"5y=x-2\"$
\n" ); document.write( " $\"y=%28x-2%29%2F5\"$
\n" ); document.write( "This new y is the inverse function, g.
\n" ); document.write( " $\"g%28x%29=%28x-2%29%2F5\"$
\n" ); document.write( "It matches the given inverse function.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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