![g\circ f(-9)=g(f(-9))](https://tex.z-dn.net/?f=g%5Ccirc%20f%28-9%29%3Dg%28f%28-9%29%29)
By definition of
,
![f(-9)=3\cdot9-8=19](https://tex.z-dn.net/?f=f%28-9%29%3D3%5Ccdot9-8%3D19)
and by definition of
,
![g\circ f(-9)=g(f(-9))=g(19)=\sqrt{14-19}-10=\sqrt{-5}-10](https://tex.z-dn.net/?f=g%5Ccirc%20f%28-9%29%3Dg%28f%28-9%29%29%3Dg%2819%29%3D%5Csqrt%7B14-19%7D-10%3D%5Csqrt%7B-5%7D-10)
which is undefined if
are supposed to be real-valued functions. If they're complex-valued, then
and
.
Answer: y = -2/3(x-3)^2 + 0 or y = -2/3(x-3)^2
Step-by-step explanation:
vertex form is y=a(x-h)^2 + k
here we can see the vertex is (3,0) which is (x,y). Or (h,k) in this case.
so to plug that into vertex form, we now have y=a(x-3)^2 + 0. or just y=a(x-3)^2.
now we need to find "a" which is the leading coefficient. to do that we can plug in the (6,-6) for the x and y parts of the above equation. so we'd have
-6=a(6-3)^2. which goes to -6=a(2)^2 which is -6=4a. divide each side by 4 to get a = -2/3. plug this in for a
the final equation would be y = -2/3(x-3)^2 + 0 or y = -2/3(x-3)^2
Answer:
0.68 : 0.32
Step-by-step explanation:
the probability of all the outcomes of an event is always 1 .
if P(E) = 0.32,
P(E') = 1 - 0.32
= 0.68
N.B that P(E') is the same as P( not E ).
since your answer should be given in the ratio form, as the odds against E ( probability not E : probability E),
P(E') : P(E)
0.68 : 0.32
hope this helps you!
-s.
Answer:
Option 4 : 19
Step-by-step explanation:
For trapezoid ABCD : AB = 16 and CD = 28
E and F are midpoints of the legs
So, EF = (AB + CD)/2 = (16+28)/2 = 44/2 = 22
GH be the median of ABFE
So, GH = (AB + EF)/2 = (16+22)/2 = 38/2 = 19