How do write the formula for g(x) in terms of |x| without using f(x) notation?

Question

F(x)=|x|
G(x)=f(x-3)

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Answer 1 · 2018-05-30T04:44:04

#g(x)=|x-3|#

Since,

#g(x) = f(x-3)#-----------------(i)

And,

#f(x)#=|x|

Replace the x by x-3 in #f(x)#,
Which gives,

#f(x-3)=|x-3|#

Now simply put this value in equation (i) to get the answer.

#:.# #g(x)=|x-3|#

Hope it helps :)