Find g(x), where g(x) is the reflection across the y-axis of f(x)=3|x+10|+8.
Question
Find g(x), where g(x) is the reflection across the y-axis of f(x)=3|x+10|+8.
Solution
To find the reflection of the function f(x) = 3|x+10|+8 across the y-axis, we need to replace every x in the function with -x.
Step 1: Identify the original function The original function is f(x) = 3|x+10|+8.
Step 2: Replace every x with -x The new function g(x) will be 3|-x+10|+8.
So, the function g(x) is the reflection of the function f(x) across the y-axis.
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