To find g(x), which is the reflection of f(x) = |x - 1| - 3 across the y-axis, we need to replace x with -x in the function f(x).

Step 1: Identify the original function
The original function is f(x) = |x - 1| - 3.

Step 2: Replace x with -x
Replace x with -x in the original function to get the reflection across the y-axis. This gives us f(-x) = | -x - 1| - 3.

Step 3: Simplify the function
Simplify the function to get g(x) = | -x - 1| - 3.

So, the function g(x), which is the reflection of f(x) across the y-axis, is g(x) = | -x - 1| - 3.

Question

To find g(x), which is the reflection of f(x) = |x - 1| - 3 across the y-axis, we need to replace x with -x in the function f(x).

Step 1: Identify the original function
The original function is f(x) = |x - 1| - 3.

Step 2: Replace x with -x
Replace x with -x in the original function to get the reflection across the y-axis. This gives us f(-x) = | -x - 1| - 3.

Step 3: Simplify the function
Simplify the function to get g(x) = | -x - 1| - 3.

So, the function g(x), which is the reflection of f(x) across the y-axis, is g(x) = | -x - 1| - 3.

Knowee AI · Accepted Answer

To find g(x), which is the reflection of f(x) = |x - 1| - 3 across the y-axis, we need to replace x with -x in the function f(x).

Step 1: Identify the original function
The original function is f(x) = |x - 1| - 3.

Step 2: Replace x with -x
Replace x with -x in the original function to get the reflection across the y-axis. This gives us f(-x) = | -x - 1| - 3.

Step 3: Simplify the function
Simplify the function to get g(x) = | -x - 1| - 3.

So, the function g(x), which is the reflection of f(x) across the y-axis, is g(x) = | -x - 1| - 3.

Find g(x), where g(x) is the reflection across the y-axis of f(x)=|x–1|–3.