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Let g (x) be the reflection across the y-axis of the function f (x) = 5x + 8. Identify the rule for g (x). g(x) = 5x + 8g (x) = -5x+8g (x) = -5x -8g (x) = 5x - 8

Respuesta :

Given a function f(x), we can write the function g(x), where g(x) is the reflection over teh y-axis of f(x) by:

[tex]g(x)=f(-x)[/tex]

In this case, the function given is:

[tex]f(x)=5x+8[/tex]

Thus the reflection over the y-axis is:

[tex]g(x)=f(-x)=5(-x)+8[/tex]

Now simplify:

[tex]g(x)=-5x+8[/tex]

hus the answer is:

g (x) = -5x+8 (second option)

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