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

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2