Question

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

Answer 1

Answer:

the option is the third for edgenu

Step-by-step explanation:

4,4

Answer 2

Answer:  (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 $y-y_1=\frac{y_2-y_1}{x_2-x_1}$ × $(x-x_1)$

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

y+3=$\frac{3-0}{0-1}$×(x-1)

y+3=$\frac{3}{-1}$×(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