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.
what is the equation for g(x)?

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,

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .