Given the function f(x) = 3x + 1 and the linear function g(x), which function has a greater value when x = 3?
graph of line g of x equals 4 times x minus 5
f(x) is greater.
g(x) is greater.
f(x) and g(x) are the same when x = 3.
g(x) is undefined when x = 3.

Option 1.

Step-by-step explanation:

The given functions are

We need to find which function has a greater value when x = 3.

Substitute x=3 in the given functions.

The value of function f(x) at x=3 is 10 and the value of function g(x) at x=3 is 7.

Since f(x) is greater that g(x) at x=3. Therefore, the correct option is 1.

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

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