43.78 = forty three and seventy eight hundredths.
Answer:
-4^8
Step-by-step explanation:
Using f(x) = y, we know that a graph of the function contains the (x,y) points (2,5) and (6,-1). first find the slope of that line,
m = (y2 - y1)/(x2 - x1) ⇒ -6/4⇒-3/2
then using either point (I'll use the first one) solve for b in y = mx + b.
5 = (-3/2)(2) + b⇒ 5 = -3 + b⇒ 8 = b.
So y = (-3/2)x + 8 ⇒ f(x) = (-3/2)x + 8.
Answer:
a
Step-by-step explanation:
I think that right so let me know if It is right
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
