Answer:
f ○ g(x) = x and g ○ f(x) = x is the correct composition
Step-by-step explanation:
INVERSE FUNCTIONS: Two functions are said to be inverse of each other if for every y = f(x), there exists a function g(x),
such that x =
= g(y)
Now, here if we need to show tha two functions f(x) and g(x) are inverse functions of each other , then show that for every x:
1. f o g(x) = f(g(x))= x
2. g o f(x) = g(f(x)) = x
If any two functions satisfy these two conditions, then they are inverse of each other.
Answer:
D) -2.14< root10 <|-2.8|
Step-by-step explanation:
the value for -2.14 is as plain as you can see, the negative version of 2.14.
The square root of 10 is 3.16227766.
The lines next to -2.8 is asking for the absolute value of -2.8, or the distance between that number and zero. The distance between -2.8 and 0 is positive 2.8, because distance can't be negative.
The 3 numbers taken from the explanations are -2.14, 3.16, and 2.8. Ranking them from least to greatest would give you -2.14, 2.8, 3.16, or -2.14< root10 <|-2.8|
Answer:
- 25
Step-by-step explanation:
Step 1:
3/5m = - 15 Equation
Step 2:
m = - 15 ÷ 3/5 Divide
Step 3:
m = - 15/1 × 5/3 Multiply
Answer:
m = - 25
Hope This Helps :)
Explanation
We are asked to give a counter-example for the given statement
A counter-example is an example that opposes or contradicts an idea or statement.
Therefore, for the statement
we have that
Statement: If an appliance is used for cooling
Conclusion: then it is a refrigerator
Then, the option that contradicts this, will be a clothes dryer
Because a dryer doesn't cool
Hence, the answer is a cloth dryer
option D
Answer:
Amount invested at 7% = 16000
Amount invested at 9% = 12000
Step-by-step explanation:
Let x be the amount invested at 7% and y be the amount invested at 9%.
Since the total amount invested is $28000, therefore, we can set up the first equation as:

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

Now we need to solve these two equations to get the values of x and y.
First of all, we multiply the second equation with 100 in order to get rid of decimal values.

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.


Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.