How are the graphs #f(x)=1/x# and #g(x)=3/x# related?

1 Answer
Harish Chandra Rajpoot
Jul 27, 2018

See explanation below

Explanation:

The given functions:

#f(x)=1/x#

#g(x)=3/x#

Both the above functions represent two rectangular hyperbolas which are symmetrical about origin.

Both the branches of these hyperbolas are parallel to each other in I & III quadrants. The vertical distance between any two corresponding points on these hyperbolas is

#=3/x-1/x#

#=2/x#

Hence the graph of #3/x# is obtained by vertically shifting the graph of #1/x# by #2/x# units upward in I quadrant & #2/x# units downward in III quadrant.

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