Answer:
See explanations below
Step-by-step explanation:
Given the function
f(x) = 3x+12
Let y = f(x)
y = 3x+12
Replace y with x
x = 3y+12
Make y the subject
3y = x-12
y = (x-12)/3
Hence the required inverse is!
g(x) = (x-12)/3
b) To show that the functions are inverses, we must show that f(g(x)) = g(f(x))
f(g(x)) = f((x-12)/3)
Replace x in f(x) with x-12/3
f(g(x)) = 3(x-12)/3 +12
f(g(x)) = x-12+12
f(g(x)) = x
Similarly for g(f(x))
g(f(x)) = g(3x+12)
g(f(x)) = (3x+12-12)/3
g(f(x)) = 3x/3
g(f(x)) = x
Since f(g(x)) = g(f(x)) = x, hence they are inverses of each other
c) Given f(g(x)) = x
f(g(–2)) = -2
The domain is the input variable of the function. Hence the domain is -2
C-x=-5
Step-by-step explanation:
-3x=-15
or,-3x x =-15
or, x=-15÷3
therefore, x=-5
Answer:
20 seconds
Step-by-step explanation:
roots are (0,0) and (20,0) so 20-0 will provide the time from takeoff to landing
Answer:
There are 16 servings
Step-by-step explanation:
<u>First, find how many oz are in 5 quarts. </u>
<em>Think: In one quart there are 32 ounces, in 5 quarts how many ounces would that be?</em>
5 x 32 = 160 ounces
<u>Next, divide 160 ounces by 10 servings</u>
160 / 10 = 16 servings
So there are 16 servings in a 5 quart pitcher.
Hope this helps ;)
