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

Question

Mathematics

Maryjane Leblanc

2 December, 09:32

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

+5

Answers (1)

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Le · Answer 1

Given these functions:

f (x) = 5x - 2

g (x) = x^3 - 2x^2 - x + 2

As f (x) = g (x),

5x - 2 = x^3 - 2x^2 - x + 2

0 = x^3 - 2x^2 - 6x + 4

The solutions are:

x = - 2

x = (4-√8) / 2=2-√ 2 = 0.586

x = (4+√8) / 2=2+√ 2 = 3.414

The best answer is then letter D.

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

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