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

Verified Answer :

Answer:

The answer is the option D

\(x=-2,0.6,3.4\)

Step-by-step explanation:

we have

\(f(x)=5x-2\)

\(g(x)=x^{3}-2x^{2}-x+2\)

To solve the system of equations equate f(x) and g(x)

\(f(x)=g(x)\)

The solution of the system of equations is the intersection points both graphs

Using a graphing tool

see the attached figure

The solutions of x are

\(x=-2,0.6,3.4\)

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The  solutions to the equation f(x) = g(x) is −2, 0.6, 3.4.

The correct option is (A)

What is function?

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.

Learn more about function here:

https://brainly.com/question/12719286

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