Question

The function f(x)=2x−5 is a linear function. Let g(x) represent f(x) after a horizontal translation 3 units to the right.

Answer 1

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, $g(x) = 2x-11$