If, F(x)=2x/7 +4, witch of the following is the inverse

Given:

The function is

To find:

The inverse function of the given function.

Solution:

We have,

Putting F(x)=y, we get

Interchange x and y.

Subtract 4 from both sides.

Multiply both sides by 7.

Divide both sides by 2.

Putting , we get

Therefore, the required inverse function is .

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