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

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: