The required composite value f(g(-8) is 28
A composite function is a function inside another function. Given the following functions
f(x) = x² - 3x - 12
g(x) = -x - 12
Required composite function is f(g(-8))
First we need to get f(g(x))
f(g(x)) = f(-x-12)
f(-x-12) = (-x-12)² - 3x - 12
Expand
f(-x-12) = x² +24x + 144 - 3x - 12
f(-x-12) = x² +21x + 132
f(g(x)) = x² +21x + 132
Substitute x = -8 into the result
f(g(-8)) = (-8)² +21(-8) + 132
f(g(-8)) = 64 - 168 + 132
f(g(-8)) = 28
Hence the required composite value f(g(-8) is 28
Learn more here : brainly.com/question/3256461
Answer:
it B. 7
Step-by-step explanation:
(-2)(4)-(3)(-5)
=-8-(3)(-5)
=-8-(-15)
=7
Answer:
m = 
Step-by-step explanation:
Slope Formula is...
m= rise / run or 
Two Coordinate Points / Ordered Pair: (16,2) and (32,4)
Your rise is...
4 - 2
Your run is...
32 - 16
Together the fraction reads...
(4 - 2) / (32 - 16)
Then do the subtracting to get....
2 / 16 ( 2 over 16)
Don't forget to simplify...
*2 can go into 2 and 16
Making the equation....
1 / 8 (one over 8)
So your m (slope) is ...
Please enclose the denominator in parentheses to reduce ambiquity.
<span>6x+24/x^2+7x+12
becomes
6(x+4) 6(x+4)
------------------ = ---------------- Cancel the factors (x+4)
(x^2+7x+12) (x+4)(x+3)
6
= -------------
x+3</span>
