+220 My entire question got deleted when I tried to edit it oops! Here it is again.
Above you see the graphs of the functions f(x) = (x+3)(x-3) , g(x) = 0,5x^2 + x + 3 and h(x) = x-3
a. Solve the equation (x+3)(x-3) = x-3
b. What meaning does the answer of a. have ?
c. Solve g(x) = h(x) . Give an exact answer. (I think they mean the equations? Don't understand this question like at all.)
d. Calculate the x coordinates of the points of intersection of the graphs of f and g .
e. Theres the function notation j(x) = (x+ 2 1/2)^2 - 5 . Give by logically reasoning the coordinates of the top of the graph of function j
+129847 a. Solve the equation (x+3)(x-3) = x-3
x^2 - 9 = x - 3
x^2 -x - 6 = 0
(x -3) ( x + 2) = 0
Settting each factor to 0 and solving for x gives that x = 3 and x = -2
b. These are the x coordinates of the intersections of both functions
c. g(x) = h(x)
-.5x^2 + x + 3 = x - 3
-.5x^2 + 6 = 0
.5x^2 = 6
x^2 = 12
x = ±√12 = ±2√3
