Find g(x), where g(x) is the reflection across the y-axis of f(x)=–2|x+3|+5.
Question
Find g(x), where g(x) is the reflection across the y-axis of f(x)=–2|x+3|+5.
Solution
To find g(x), the reflection of f(x) across the y-axis, we need to replace every x in the function f(x) with -x.
The function f(x) is given as f(x) = -2|x+3|+5.
So, to find g(x), we replace x with -x in f(x):
g(x) = -2|-x+3|+5.
This is the function g(x), which is the reflection of f(x) across the y-axis.
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