The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?

Step-by-step explanation:

Given

Reflection: Across y-axis

Required

The ordered pair on g(x)

The rule of reflection across y-axis is:

So, we have:

f(-x) is:

Recall that:

Hence:

From the options (missing in the question), the ordered pair is:

To check this, we have:

Expand

Simplify

Open bracket

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3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5