Respuesta :

Answer:

The sign of [tex]x[/tex] in [tex]g(x)[/tex] is opposite or negated. This is the only difference between [tex]f(x)[/tex] and  [tex]g(x)[/tex], meaning it is a reflection through the y-axis.

Therefore, [tex]g(x)[/tex]  will be the reflection of [tex]f(x)[/tex] through the y-axis.

Step-by-step explanation:

Considering the functions

  • f(x) = 0.7(6)x
  • g(x) = 0.7(6)–x

We know that when we reflect a function through the y-axis, the x-coordinate gets opposite - negated.

Here, the sign of [tex]x[/tex] in [tex]g(x)[/tex] is opposite or negated. This is the only difference between [tex]f(x)[/tex] and  [tex]g(x)[/tex], meaning it is a reflection through the y-axis.

Therefore, [tex]g(x)[/tex]  will be the reflection of [tex]f(x)[/tex] through the y-axis.

Answer:

The sign of  in  is opposite or negated. This is the only difference between  and  , meaning it is a reflection through the y-axis.

Therefore,   will be the reflection of  through the y-axis.

Step-by-step explanation:

Considering the functions

f(x) = 0.7(6)x

g(x) = 0.7(6)–x

We know that when we reflect a function through the y-axis, the x-coordinate gets opposite - negated.

Here, the sign of  in  is opposite or negated. This is the only difference between  and  , meaning it is a reflection through the y-axis.

Therefore,   will be the reflection of  through the y-axis.