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Answer:
the equation of g(x) is,
Step-by-step explanation:
The transformation of the function is defined as:
where, b represents the horizontal shift.
if b> 0 then, the function f(x) shifts b units left and if b< 0 ; then the function shifts b units right
As per the statement:
The function f(x)=2x−5 is a linear function.
It is given that:
g(x) represent f(x) after a horizontal translation 3 units to the right.
⇒
then
⇒
⇒
Therefore, the equation of g(x) is,