Verified Answer :

Answer:

the equation of g(x) is, \(g(x) = 2x-11\)  

Step-by-step explanation:

The transformation of the function is defined as:

\(g(x)=f(x+b)\)

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.

⇒\(g(x) =f(x-3)\)

then

\(g(x) = 2(x-3)-5\)

⇒\(g(x) = 2x-6-5\)

⇒\(g(x) = 2x-11\)

Therefore, the equation of g(x) is, \(g(x) = 2x-11\)

Answer:

g(x)=2x-11

Step-by-step explanation: