The graph of f(x) and g(x) are shown below which of the following is the graph of (g-f)(x)

 (g-f)(x)=-4x

Explanation: According to the graph, line created by function f(x) passes through the points (1,-3) and (0,0) and similarly, line created by the function passes through the points (1,1) and (0,0).

Thus, we can find the equation of the lines with help of formula ×

so, equation of line created by function f(x)

y+3=×(x-1)

y+3=×(x-1)

y+3=-3x+3

y=-3x thus function f(x)=-3x

similarly, equation of line created by function g(x)  

y=x thus function g(x)=x

Now, we have to find out, (g-f) (x)= g(x)-f(x)= -3x-x= -4x

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2