Composing functions means that the input of the outer functions is the output of the inner function.
In fact, you can rewrite the circle notation as
So, we can substitute g(x) with its expression:
And since f(x)=x+5, we simply have to add 5 to its input:
Similarly, we have, substituting f with its expression,
And since g(x)=4x+2, we have to multiply the input by 4 and add 2:
Answer:
Please make it a bit bigger.
Step-by-step explanation:
I can't see it
Answer:
Mean weight = 19 pounds
Step-by-step explanation:
From the question given above, the following data were obtained:
17, 11, 21, 24, 22
Number of data (n) = 5
Mean weight =?
The mean of a set of data is the value obtained by adding all the data together and dividing the result obtained by the total number of data. Thus, the mean can be obtained as follow:
Summation of data = 17+ 11 + 21 + 24 + 22
= 95
Number of data = 5
Mean = Summation of data / Number of data
Mean = 95 / 5
Mean weight = 19 pounds
Therefore, the mean weight of the data is 19 pounds
Answer:
x > -1.25
Step-by-step explanation:
First, let's start with the left side of the equation.
1) multiply 0.2(x + 20). You will get 0.2x+4
So you have 0.2x+4-3
Simplify that, you will have 0.2x+1
Now, we need to isolate the variable (bring all terms with "x" to one side), and move everything else to another side. Remember that when you bring something to the other side, you must change the sign in front of the term (for example, bringing 2x to another side would change it to -2x. another example is if you were to bring -2 to another side, you would have to change it to 2.)
2) 0.2x+6.2x>-7-1 Moved like terms to one side.
6.4x>-8 I combined the terms here!
x > -1.25 Simplified!
Let me know if you need anything else :)
Answer: 16
Step-by-step explanation: When you have a set of parentheses in an order of operations problem, you must simplify what's inside that set of parentheses first before you do anything else.
So our first step here is to subtract 6 - 8 which gives us -2.
So in our next step we have 3 (-2)² + 8 ÷ 2.
Now remember to do exponents before you multiply.
So (-2)² is just -2 × -2 or 4.
So in our next step we have 3 x 4 + 8 ÷ 2.
Now, we multiply so we have 3 x 4 which is 12.
So we have 12 + 8 ÷ 2.
Now we can divide.
8 ÷ 2 is 4 so we have 12 + 4 or 16.
So the answer to this problem is 16.
