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

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

1 Answer
May 30, 2018

g(x)=|x-3|

Explanation:

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 :)