F(x)=-4/x-1+1 g(x)=3/x-2-1

Question

F(x)=-4/x-1+1

g(x)=3/x-2-1

Answer 1

f(x) = -4x +1

g(x) = 3x^2 -1

change the sign of the negative exponent and move the variable term into the numerator

f(x) is a straight line. g(x) is a parabola

set them equal to find points of intersection

3x^2 +4x -2= 0

x= -4/6 + or - (1/6)sqr(16+24) = (-4 +sqr40)/6= (-2 + 2sqr10)/3 = about -5.16/3 or -1.16/3

are where two functions intersect