Answer:
f(g(x)) = 2(x^2 + 2x)^2
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Step-by-step explanation:
Given;
f(x) = 2x^2
g(x) = x^2 + 2x
To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).
f(g(x)) = 2(g(x))^2
f(g(x)) = 2(x^2 + 2x)^2
Expanding the equation;
f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)
f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)
f(g(x)) = 2(x^4 + 4x^3 + 4x^2)
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Hope this helps...
Answer:
The answer is “C” (Shifts left 3 units)
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Answer:
700 pages
Step-by-step explanation:
I first found out how many pages were in 1% so I divided 28 by 4.
I got 7 so I multiplied it by 100 and 700 was the answer.
Basically:
28÷4 = 7
7 x 100 = 700
I hope that kinda made sense!
The Earth is a watery place. But just how much water exists on, in, and above our planet? About 71 percent of the Earth's surface is water-covered, and the oceans<span> hold about 96.5 percent of all Earth's water. Water also exists in the air as </span>water vapor<span>, in </span>rivers<span> and </span>lakes<span>, in icecaps and </span>glaciers<span>, in the ground as soil moisture and in </span>aquifers<span>, and even in you and your dog.</span>
I have a photo that shows how I got the answer and what the answer is (Key: Red represents my work, while highlighter shows what the answer is):
