step 1
Find out the equation of the function g(x)
we have
x [ -2,-1,0,1,2 ] g(x) [ 1,,3,5,7,9]
Find out the slope
we take the points (-2,1) and (0,5)
m=(5-1)/(0+2)
m=4/2
m=2
The linear equation is
g(x)=2x+5
step 2
we have the system
g(x)=2x+5
f(x) = 2x^2 + x + 4
Using a graphing tool
The solution of the system is the intersection point of both graphs
The solutions are (-0.5,4) and (1,7)
therefore
The answer is (1,7)
