Find g(x), where g(x) is the reflection across the y-axis of f(x)=5|x+5|–3.g(x)=–5|x–5|+3g(x)=5|x–5|–3g(x)=5|x+5|+3g(x)=–5|x+5|–3Submit
Question
Find g(x), where g(x) is the reflection across the y-axis of f(x)=5|x+5|–3.
g(x)=–5|x–5|+3
g(x)=5|x–5|–3
g(x)=5|x+5|+3
g(x)=–5|x+5|–3
Submit
Solution
The reflection of a function f(x) across the y-axis is given by f(-x). So, to find g(x), we replace x with -x in the function f(x)=5|x+5|–3.
So, g(x) = 5|-x+5|–3.
However, we can simplify |-x+5| to |x-5| because the absolute value of a number is always positive.
So, g(x) = 5|x-5|–3.
Therefore, the correct answer is g(x)=5|x–5|–3.
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