I need help with this!!

Question

Does anyone know how to solve this problem using the FHRATEY method?

F: Factor

Factor numerator and denominator. Cross out any that are the same in the numerator and denominator.

H: Holes

Make sure to plug them in to find the y value.

R: Roots

Make numerator equal to zero and solve

A: Vertical Asymptote

Make denominator equal zero

T: Togetherness

Only for denominator, even exponent means together, odd exponent is apart

E: End Behavior

If dN > dD of the numerator, the HA is zero.

If dN = dD then HA = lN/lD (leading coefficients)

Y: Y Intercepts

Make all x's equal zero and solve.

The problem is this f(x)= 2x-1/x^2

Answer 1

2x-1/x²

F: Factor

Neither the numerator or denominator can be factored

H: Holes

There are no holes. Holes are made when factors cancel out. There are no factors in the numerator and denominator that are the same, no nothing cancels.

R: Roots

Make numerator equal to zero and solve

2x-1=0 Add 1 to both sides

2x=1 Divide both sides by 2

x=1/2

A: Vertical Asymptote

Make denominator equal zero

x=0

T: Togetherness

Only for denominator, even exponent means together, odd exponent is apart

x² in the denominator, 2 is even. The graph will be together

E: End Behavior

If 1 > 2 of the numerator, the HA is zero.

y=0

Y: Y Intercepts

Make all x's equal zero and solve.

y=2(0)-1/(0)² No solution, 0 in the denominator. There is no y intercept (This is because the y axis is a vertical asymptote - See part A)