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avatar+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

 Feb 28, 2019
 #1
avatar+101856 
+4

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

 

 

 cool  cool  cool

 Feb 28, 2019
 #2
avatar+101856 
+3

I'll finish d and e in a little while....

 

cool cool cool

 Feb 28, 2019
 #3
avatar+220 
0

Thanks for the help already! Take your time (:

HeyxJacq  Mar 1, 2019

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