document.write( "Question 717018: determine the inverse for each of the following functions if it exists. show your work.\r
\n" ); document.write( "\n" ); document.write( "a) f(x) = 7^x
\n" ); document.write( "b). f(x) = log2 (x+3) -5
\n" ); document.write( "c). f(x). = e^(x+3) -3
\n" ); document.write( "

Algebra.Com's Answer #441540 by lwsshak3(11628)\"\" \"About 
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determine the inverse for each of the following functions if it exists. show your work.
\n" ); document.write( "a) f(x) = 7^x
\n" ); document.write( "b). f(x) = log2 (x+3) -5
\n" ); document.write( "c). f(x). = e^(x+3) -3
\n" ); document.write( "***
\n" ); document.write( "To find the inverse of a function, interchange x and y, then solve for y (f^-1).
\n" ); document.write( "a) y = 7^x
\n" ); document.write( "x=7^y
\n" ); document.write( "logx=ylog7
\n" ); document.write( "f^-1=logx/log7
\n" ); document.write( "..
\n" ); document.write( "b). x = log2 (y+3) -5
\n" ); document.write( "x+5 = log2 (y+3)
\n" ); document.write( "2^(x+5)=y+3
\n" ); document.write( "f^-1=2^(x+5)-3
\n" ); document.write( "..
\n" ); document.write( "c). x = e^(y+3) -3
\n" ); document.write( "x+3=e^(y+3)
\n" ); document.write( "(y+3)lne=ln(x+3)
\n" ); document.write( "y+3=ln(x+3)
\n" ); document.write( "f^-1=ln(x+3)-3
\n" ); document.write( "
\n" );