Answer:
I'm going to lay this out in a chart so it's a little easier to see:
F(x) = f(g(x))
x | f (x) | f ' (x) | g (x) | g ' (x)
--------------------------------------
-2 | 8 | 4 |
5 | | 3 | -2 | 6
Remember the chain rule, which says
(f (g (x))) ' = g ' (x) f ' (g (x))
When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.
Using the chain rule, that's
F ' (5) = g ' (5) f ' (g (5))
We can simplify using the numbers provided.
F ' (5) = (6) f ' (-2)
F ' (5) = (6) (4)
F ' (5) = 24
I hope that helps!
by jannat <33
Answer:
2√3
Step-by-step explanation:
So √12 is in radical form. I think what you are asking for is to reduce the expression to its **simplest** readical form.
So 12 = 4*3, √12 = √4 * √3.
So 12 = 4*3, √12 = √4 * √3.
We can ‘reduce’ this by noting that √4 =2, so the expression becomes 2√3.
This cannot be further reduced because 3 isn’t a square or divisible by a square, so 2√3 is the simplest radical form.
Answer:
Slope: -1/2
Y intercept: 1
Step-by-step explanation:
Answer:
C. 15, 25, 35, 45, 55
Step-by-step explanation:
Each number in A, B, and D are double the previous number but C adds 10.
Answer:
Step-by-step explanation:
Given
Required
Determine the coordinates of B'
Since A' is the image of A; we need to first calculate the scale factor using
Make Scale Factor the subject
Substitute values for A' and A
Factorize the numerator
The coordinates of B' is then calculated as follows:
Substitute values for B and Scale Factor
