Answer:
Step-by-step explanation:
Given that there are two functions f and g as
We have to find the composition of functions.
Composition functions are calculated as the first function inside bracket and then the outside function of answer inside.
a)
b) 
c) ![fof = f(\sqrt{x} ) = \sqrt[4]{x}](https://tex.z-dn.net/?f=fof%20%3D%20f%28%5Csqrt%7Bx%7D%20%29%20%3D%20%5Csqrt%5B4%5D%7Bx%7D)
d) 
Answer:
-5n + 8
Step-by-step explanation:
<u>1. What is the difference?</u>
The sequence goes down by 5. This means that the formula will have -5n in it.
<u>2. Work out the term before the first term.</u>
The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.
3 + 5 = 8 Remember, this is positive 8. (+8)
<u>3. Put that term at the end of the equation. </u>
We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.
-5n + 8 This is our answer!
Just to prove it works:
<em>Substitute: n = term</em>
Lets see if we can get the 3rd term which is -7. (n = 3)
-5(3) + 8
-15 + 8 = -7
See, it works!
The sentence sequence is "BDAC".
<u>Step-by-step explanation</u>:
- Derek is rolling a die many times and he is recording when he rolls a dice of three. So we have to identify from largest to smallest.
- The first largest is 30 times. Because of 3*10=30, so he rolls three ten times. So the first option is B.
- The second largest is 20 times. Derek rolled dice three-six times because of 3*6=18. So the second option is D.
- The third-largest is 10 times. In this, he rolls three times. Because of 3*3=9. So the option is A.
- The final option is C. Derek rolls five times. 3*1=3. In this, he rolled only one time. So the sequence is BDAC.
Answer:
264
Step-by-step explanation:
16x
Step-by-step explanation:
6 increased by 2 --> 6+2
difference of 4 and 2 --> 4-2
first part times the second part --> 6 + 2 (4-2)
times a number --> • x
put it all together --> (6+2)(4-2) • x or 16x
