Answer:
f (x) = x2 shows us that function " f " takes " x " and squares it. Example: with f (x) = x2: becomes an output of 16. In fact we can write f (4) = 16. The "x" is Just a Place-Holder! Don't get too concerned about "x", it is just there to show us where the input goes and what happens to it.
It's 2 7/12
Hope this helped!
M = Undefined (because the line is perfectly vertical)
Answer:
Directrix equation: y = 11/2
y = k - c = 6 - 1/2 = 11/2
Step-by-step explanation:
y=(1/2) x^2+6x+24
factor this
y = (1/2)* [ x^2 + 12x ] + 24
y = (1/2)* [ x^2 + 12x + 36 - 36] + 24
y = (1/2)* [ (x + 6)^2 - 36] + 24
y = (1/2)* (x + 6)^2 - 18 + 24
y = (1/2)* (x + 6)^2 + 6
y - 6 = (1/2)* (x + 6)^2
2*(y - 6) = (x + 6)^2
4c = 2, (h, k) = (-6, 6)
c = 1/2
Directrix equation: y = k - c = 6 - 1/2 = 11/2
Answer:
1) 
2) 
3) 
Step-by-step explanation:
So we have the two functions:
And we want to find (f+g)(x), (f-g)(x), and (f*g)(x).
1)
(f+g)(x) is the same to f(x)+g(x). Substitute:
Combine like terms:
Add:
So:
2)
(f-g)(x) is the same to f(x)-g(x). So:
Distribute:
Combine like terms:
Simplify:
So:
3)
(f*g)(x) is the same to f(x)*g(x). Thus:
Distribute:
Distribute:
Combine like terms:
Simplify:
So:
