Arrange them from highest to lowest, need help asap Ty
1 answer:
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g(x) = or g(x) is 3/4 times of f(x) , F(x) and g(x) have common solution or intersecting point in the graph parabola at x=0 i.e. in origin and x =
.
<u>Step-by-step explanation:</u>
We have a function f(x) = and another function , g(x) =
. In the graph of y =
, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point.
Graphing y = (x - h)2 + k , where h = 0 & k = 0
Function g(x) can be formed with compression in function f(x) by a factor of 3/4 , i.e. g(x) = or g(x) is 3/4 times of f(x).Domain and range of f(x) and g(x) are same ! Although structure of both functions is same the only difference is g(x) is compressed vertically by a factor 3/4. Both are graph of a parabola with vertex at (0,0). Also, F(x) and g(x) have common solution or intersecting point at x=0 i.e. in origin.
Answer:
(f + g)(x) = 5x² + 2x - 5
Domain: All real numbers
(f - g)(x) = -5x² + 2x - 5
Domain: All real numbers
(fg)(x) = 10x³ - 25x²
Domain: All real numbers
(f/g)(x) =
Domain: (negative infinity, 0)U(0, positive infinity)
Step-by-step explanation:
For f + g, we are simply adding the 2 together
<em>Domain: All values of x work, as any value x outputs any value y</em>
For f - g, we are simply subtracting the 2 together
<em>Domain: All values of x work, as any value x outputs any value y</em>
For f times g, we are simply multiplying (distributing) the 2 together
<em>Domain: All values of x work, as any value x outputs any value y</em>
For f divided by g, we are simply dividing (fraction) the 2 together
<em>Domain: All values except for 0 work (undefined error), so asymptote at x = 0</em>