← Back to the programme
    NationalHardFunctions10–12

    What is the oblique asymptote of the graph of f(x)=x2+2x−1x−1f(x) = \frac{x^{2} + 2x - 1}{x - 1}?

    Qual é a assíntota oblíqua do gráfico de f(x)=x2+2x−1x−1f(x) = \frac{x^{2} + 2x - 1}{x - 1}?

    Answer options

    Solution

    Step 1 of 3

    1. 1.Divide the polynomials: x2+2x−1=(x−1)(x+3)+2x^{2} + 2x - 1 = (x - 1)(x + 3) + 2.