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Find g(x), where g(x) is the reflection across the y-axis of f(x)=9x–4.

Question

Find g(x), where g(x) is the reflection across the y-axis of f(x)=9x–4.

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Solution

To find the reflection of the function f(x) = 9x - 4 across the y-axis, you need to replace x with -x in the function.

So, g(x) = f(-x) = 9(-x) - 4 = -9x - 4.

Therefore, the function g(x) = -9x - 4 is the reflection of the function f(x) = 9x - 4 across the y-axis.

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