Consider the two functions.f(x) = x² – 8x + 7Do the minima of the two functions have the same x-value? yes or noWhich of the functions has the greater minimum? g(x) or f(x)(second function is the graph below)

Answer:They have the same x-valuef(x) has the greater minimumStep-by-step explanation:To find the vertex of a second degree equation, in this case the minimum value, we can use the following equation:x = -b / 2aRemember that a second degree equation has the following form:ax^2 + bx + cso a = 1, b = -8 and c = 7. Now you have to substitute in the previous equationx = - (-8) / 2(1)x = 8 / 2x = 4This means that the two functions have the same x-value.The y value of f(x) would bef(4) = (4)^2 - 8(4) + 7f(4) = 16 - 32 + 7f(4) = -9So the vertex, or minimun value of f(x) would be at the point (4, -9).The vertex, or minimun value of g(x) is at the point (4, -4).So f(x) has a minimum value of -9 and g(x) a minimum value of -4.