Question

22Select the correct answer.Consider functions fand g.f(3) = 12 + 1 - 1g(T) = 3 - 2Using a table of values, what is the approximate solution to the equation f(x) = g(I) to the nearest quarter of a unit?OA-1.75OB.0.75Ос.10.50OD.-2.25ResetResetNext

Answer 1

Let's begin by listing out the information given to us:

f(x) = (x-1)/(x²+x-1)

g(x) = 3^x-2

We will substitute the values of x we were given from the answers into the equation (x = -1.75, 0.75, 0.5, -2.25). We have:

f(-1.75) = (-1.75-1)/(1.75²+1.75-1) = (-2.75)/3.8125 = 0.72

f(0.5) = (0.5-1) / (0.5²+0.5-1) = -0.5/(-0.25) = 2

f(0.75) = (0.75-1) / (0.75²+0.75-1) = -0.25/(-0.3125) = 0.8

f(-2.25) = (-2.25-1) / (-2.25²-2.25-1) = -3.25/(-1.8125) = 1.79