Find g(x), where g(x) is the reflection across the y-axis of f(x)=–2x–1.
Question
Find g(x), where g(x) is the reflection across the y-axis of f(x)=–2x–1.
Solution
To find g(x), which is the reflection of f(x) = -2x - 1 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) = -2x - 1.
Step 2: Replace x with -x. This gives us f(-x) = -2(-x) - 1.
Step 3: Simplify the equation. This gives us f(-x) = 2x - 1.
Therefore, the function g(x), which is the reflection of f(x) across the y-axis, is g(x) = 2x - 1.
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