Question #3b54c

1 Answer
Ratnaker Mehta
Jan 22, 2017

#(3,0)#.

Explanation:

The Graph #G# of the given function #f# is,

#G_f={(x ,y)| y=f(x)=2x-6} sub RR^2#.

Recall that, #X"-axis "= G_X={(x,y)|y=0} sub RR^2#.

So, to find the point of intersection of #G_f and G_X, i.e., G_fnnG_X#, we let, #y=0" in "y=2x-6," giving, "x=3.#

We readily have, #y=0.#

Hence, #G_fnnG_X={(3,0)}.#

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