#2 is 1 and 2 is both 78%
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
Answer:
C = -D - B
Step-by-step explanation:
Step 1: Write out equation
B + C = -D
Step 2: Subtract B on both sides
C = -D - B
Answer:
x = 60
Step-by-step explanation:
That square on the angle means 90 degrees so since the other angle is 30 that means x has to be 60
Awesome!!! so his tools and stuff cost $80 and 6.25 PER BIRD HOUSE.
To make a profit he needs to make more that 80 and 6.25+. And he'll sell the bird houses for $16.
So we'll multiply. 16x (blank)=. And make it more than 80.
Step 2.
Let's say that you've got 5 bird houses. Now you have to mutliply 6. 25 and 5 because Juan had to pay that extra 6.25 per bird house.
