Answer:
The approximate solution for f(x)=g(x) is x= -1.
Step-by-step explanation:
Given two functions are f(x) and g(x)
f(x)= [tex]2 \;multiplied \;by \;x\; plus 1[/tex]
Therefore, f(x)= 2x+1
g(x)=[tex]x\; cubed\; plus \; 2\; multiplied\; by \; x \; squared \; minus \; x\; minus2[/tex]
Therefore, g(x)= [tex]x^3+2x^2-x-2[/tex]
From the given graph we can see that two functions are intersect to each other at points (1.46, 3.92) , ( -0.76, -0.52) and ( -2.7,-4.3).
It means the graph of two functions intersect at
x=1.46
x= -0.76
x=-2.7
The approximate value of
x=1.46=1.5
x=- 0.76=-1
x=-2.7=-3
Hence, f(x)=g(x) at x=-1
Therefore , the approximate solution is x= -1 for f(x)=g(x)
Hence, option C x=-1 is correct answer.
