Answer:
(g - h)(-4x) = 4x - 2
Step-by-step explanation:
This problem is one dealing with "composite functions." We are given the definitions of functions g(x) and h(x) and are asked to find the difference between g and h, namely, what is left if we subtact h from g. After having done that, we replace x in this composite function with the input (-4x).
The difference (g - h)(x) is as follows: g(x) - h(x) = -x + 4x - [4x + 2].
If we simplify the algebra, we get g(x) - h(x) = -x + 4x - [4x + 2] = -x - 2.
Next, substitute -4x for x in this last result. We get (g - h)(-4x) = 4x - 2.
Please note: You might want to check out your g(x) = -x + 4x. Normally we would write this as +3x.
Answer:
you can make 3 rectangles with an area of 12in
Using the Pythagoras theorem since it is given that it is a right angled triangle
let us name the triangle as A, B, C with B as right angle
AB^2 + BC^2 = AC^2 ( Pythagoras theorem)
where AB = 4 , BC = 7 , AC = x
Answer:
It is called an inequality.
hope this helps!
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
Your spreadsheet or graphing calculator can do this for you.
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If you want to do it by hand, pick a few values for x, compute the corresponding values of f(x), plot those points, and draw a smooth curve through them. You know the horizontal asymptote is y=0, and the whole graph is in the 3rd and 4th quadrants, since the exponential function has been reflected over the x-axis by the leading minus sign.