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Find g(x), where g(x) is the reflection across the y-axis of f(x)=6x–9.

Question

Find g(x), where g(x) is the reflection across the y-axis of f(x)=6x–9.

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Solution

To find g(x), which is the reflection of f(x) = 6x - 9 across the y-axis, you need to replace x with -x in the equation of f(x).

Step 1: Write down the equation of f(x), which is f(x) = 6x - 9.

Step 2: Replace x with -x to get the equation of g(x). So, g(x) = 6(-x) - 9.

Step 3: Simplify the equation to get g(x) = -6x - 9.

So, the function g(x), which is the reflection of f(x) = 6x - 9 across the y-axis, is g(x) = -6x - 9.

This problem has been solved

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