Find g(x), where g(x) is the reflection across the x-axis of f(x)=4x+5.
Question
Find g(x), where g(x) is the reflection across the x-axis of f(x)=4x+5.
Solution
To find the reflection of the function f(x) = 4x + 5 across the x-axis, you simply change the sign of the y-values. This means that you change the sign of the function's output.
The function f(x) = 4x + 5 becomes g(x) = -4x - 5 when reflected across the x-axis.
So, g(x) = -4x - 5 is the reflection of the function f(x) = 4x + 5 across the x-axis.
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