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f(x) and g(x) are just names of generic functions - they could be anything. In any specific case, where they intersect depends on how the functions are defined. In general, to find out where they intersect you can solve for:
f(x) = g(x)
Replacing the corresponding expressions for each function of course.
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How would you describe the difference between the graphs of f(x)2x2 and g(x)-2x2?
If the two at the end of these are exponents, like x^2, then these graphs would be reflections across the x-axis. Their graphs would be two parabolas. f(x) pointing up, and g(x) pointing down.
Is -3x-6 greater than x-2?
That depends on the value of x. You can think of those two expressions as being linear functions: f(x) = -3x - 6 g(x) = x - 2 To find the point at which they intersect (where f(x) = g(x)), we simply have to declare them as being equal and solve for x: if f(x) = g(x) then: -3x - 6 = x - 2 -4x = 4 x = -1 So the two functions intersect at the point where x = -1. If you plug that value into either function, you'll find that they return the value -3. This tells ups that these functions describe two lines that intersect at the point (-1, -3). Given that the coefficient of our first function, "f" has a lower value than the function "g", we know that when the x value is greater than that of their point of intersection, "g" will return a greater value. Before our point of intersection, "f" will return a greater value. So in answer to your original question, we can say: if x < -1: yes if x ≥ -1: no
Which of the following will form the composite function gfx shown below gfx?
G(F(x)) =~F(x) = and G(x) = 1F(x) = + 1 and G(x) = 3xF(x) = x + 1 and G(x) =orF(x) = 3x and G(x) = + 1-F(x) = x+ 1 and G(x) =G(F(x)) = x4 + 3~F(x) = x and G(x) = x4F(x) = x + 3 and G(x) = x4F(x) = x4 and G(x) = 3orF(x) = x4 and G(x) = x+ 3-It's F(x) =x4 andG(x) = x+ 3G(F(x)) =4sqrt(x)F(x) = sqrt(x) and G(x) = 4x
if f(x)=4x-8 and g(x)=5x+6 find (f+g)(x) if?
(f+g)(x) = 4x + 8 + 5x -6 => (f+g)(x) = 9x + 2
what if f(x)=2x-6 and g(x)=3x+9 find (f-g)(x)?
If f(x)=2z^2+5 and g(x)=x^2-2, fine (f-g)(x)
