document.write( "Question 717018: determine the inverse for each of the following functions if it exists. show your work.\r
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document.write( "a) f(x) = 7^x
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document.write( "b). f(x) = log2 (x+3) -5
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document.write( "c). f(x). = e^(x+3) -3 \n" );
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Algebra.Com's Answer #441540 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 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( " |