Determine whether f(x)= 5x+1/x and g(x)=x/5x+1 are inverse functions. Explain how you know.
+129840 I'm assuming these are f(x)= [5x+1] / x and g(x)= x / [5x+1]
To determine if they are inverses, sub g(x) into f(x).....so we have
[ 5 [ x / [ 5x + 1] ] + 1 ] / [ x / [5x + 1] ] =
[ (5x + 5x + 1 ) / [ 5x + 1) ] / [x / [5x + 1] ] =
( [ 10x + 1] / x ] =
10 + 1/x
For f and g to be inverses, this result would have to = x.......since it doesn't, they're not .....!!!
