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Find g(x), where g(x) is the reflection across the y-axis of f(x)=x2.

Question

Find g(x), where g(x) is the reflection across the y-axis of f(x)=x2.

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Solution

To find the reflection of the function f(x) = x^2 across the y-axis, you need to replace x with -x in the function.

So, g(x) = (-x)^2.

Simplify the equation to get g(x) = x^2.

Therefore, the reflection of the function f(x) = x^2 across the y-axis is g(x) = x^2.

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