Answer:
1. False
2. False
3. False
4. False
5. False
Step-by-step explanation:
1. Having an exponent of 0 and 1 is totally different as 0 power leads the answer to 1 whereas 1 leads the answer to the same as base.
2. Add all the exponents which doesn't adds to 2.
3. If the base is same the exponents add, not multiply.
4. Not it gets the answer 1.66 which is not equal 1/36.
5. Doesn't have the equivalent experssion.
Answer:
They are inverses since both composition equal x.
Step-by-step explanation:
Given the functions, f(x) = 3x + 1 and g(x) = (x-1) / 3, to check if they are inverses functions, we are to find the inverse of one of the function and check if it will give us the other function.
Let's look for the inverse of f(x).
Given f(x) = 3x+1
Let y = f(x) so that y = 3x+1
Replace y with x
x = 3y+1
Make y the subject of the formula of the resulting equation;
3y = x-1
y = (x-1)/3
The new function of x will be the inverse of f(x)
Hence f^-1(x) = (x-1)/3 = g(x)
Another way to check is to find their composition. Let's find f(g(x) and g(f(x)
F(g(x)) = f((x-1)/3)
Replace x with (x-1)/3 in f(x)
F(g(x)) = 3[(x-1)/3]+1
F(g(x)) = x-1+1
F(g(x)) = x
Similarly for g(f(x));
g(f(x)) = g(3x+1)
Replace x in g(x) with 3x+1
g(3x+1) = (3x+1-1)/3
g(3x+1) = 3x/3
g(3x+1) = x.
Since g(f(x)) = f(g(x)) = x, hence f(x) and g(x) are Inverses functions
It is important to look at all
the information’s already given in the question. Those information’s will come
in handy while solving the question.
Number of dogs in the shelter = 60
Percentage of puppies in the shelter = 15%
Then
Number of puppies in the shelter = (15/100) * 60
= 900/100
= 9
So there are a total of 9 puppies in the shelter.
I hope the procedure is clear
enough for you to understand. I am glad to have helped you.
A)true
B)false
c)false
D)true
they are right