find ( g(x) ), where ( g(x) ) is the reflection across the ( y )-axis of ( f(x)=x ). write your answer in…

find ( g(x) ), where ( g(x) ) is the reflection across the ( y )-axis of ( f(x)=x ). write your answer in the form ( mx + b ), where ( m ) and ( b ) are integers. ( g(x)= )

find ( g(x) ), where ( g(x) ) is the reflection across the ( y )-axis of ( f(x)=x ). write your answer in the form ( mx + b ), where ( m ) and ( b ) are integers. ( g(x)= )

Answer

Explanation:

Step1: Recall the reflection rule

When a function (y = f(x)) is reflected across the (y) - axis, the transformation rule is (g(x)=f(-x)).

Step2: Substitute (x) with (-x) in (f(x))

Given (f(x)=x), then (g(x)=f(-x)). Substituting (x) with (-x) in (f(x)), we get (g(x)=-x+0).

Answer:

(g(x)=-x)