Question

Write the function rule for the function shown below reflected in the given axis.

​f(x)​x; ​-axis

Let​ g(x) be the reflection of​ f(x) in the ​-axis. What is the function rule for​ g(x)?

​g(x)

nothing

Answer 1

The answer is "
`\bold{g(x) = -(1)/(2x) \ and \ g(x)= -3x-12}`".

Explanation:

Please find the complete question in the attached file.

`\to f(x) = 4x`

Following the y-axis reflexion, f(x) is 4(-x) = -4x after a
`(1)/(8)` vertical compression factor, f(x) is
`(1)/(8) * -4x = (1)/(-2x)`

So, the
`g(x) = - (1)/(2x)`

The y axis reflecting indicates that its entire function is multiplied by -1

so,
`f(x)=3x+12^(-1)`

`\to g(x)=-3x-12`