Answer: A. f(g(x)) =x and g(f(x))=x and f and g are inverses.
Step-by-step explanation:
A function <em>g</em> is the inverse of function <em>f</em> if
<em>f(g(x)) = g(f(x))=x</em>
Given: f(x)= x+4 , g(x) = x-4
f(g(x)) = f(x+4) = (x-4)+4
= x-4+4 = x
i.e. f(g(x)) =x
g(f(x))= g(x-4) = (x-4)+4 =x
i.e. g(f(x))=x
Hence, f(g(x)) =x and g(f(x))=x and f and g are inverses.
Answer:
a) P(2)=0.270
b) P(X>3)=0.605
c) P=0.410
Step-by-step explanation:
We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the Poisson distribution:

a) In this case: 

Therefore, the probability is P(2)=0.270.
b) In this case: 

Therefore, the probability is P(X>3)=0.605.
c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.
In this case: 

Therefore, the probability is P=0.410.
Answer:
Step-by-step explanation:
Here you go mate
Use PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
Step 1
-3(x-2)=9 Equation/Question
Step 2
-3(x-2)=9 Remove parenthesis
3x+6=9
Step 3
3x+6=9 Add -6
-3x=3
Step 4
−3x=3 Divide
answer
x=-1
Hope this helps