Based on the graph below, what are the solutions to the equation f(x) = g(x)?

graph of function f of x equals 5 times x minus 2. Graph of function g of x equals x cubed minus 2 times x squared minus x plus 2

(A)x = −3.7, 0.5, 3.4
(B)x = −1, 1, 2
(C)x = −2, 2, 3
(D)x = −2, 0.6, 3.4

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

given:

f(x)= 5x-2

g(x)= x³-2x²-x+2

Now, equate f(x)= g(x)

The solution is shown using graphical method.

By looking the graph, the graph of function g(x) touches the line f(x) at three point −2, 0.6, 3.4.

Hence, the solution of x will be −2, 0.6, 3.4.

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Based on the graph below, what are the solutions to the equation f(x) = g(x)? graph of function f of x equals 5 times x minus 2. Graph of function g of x equals x cubed minus 2 times x squared minus x plus 2 (A)x = −3.7, 0.5, 3.4 (B)x = −1, 1, 2 (C)x = −2, 2, 3 (D)x = −2, 0.6, 3.4

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Based on the graph below, what are the solutions to the equation f(x) = g(x)?

graph of function f of x equals 5 times x minus 2. Graph of function g of x equals x cubed minus 2 times x squared minus x plus 2

(A)x = −3.7, 0.5, 3.4
(B)x = −1, 1, 2
(C)x = −2, 2, 3
(D)x = −2, 0.6, 3.4