Answer:




Step-by-step explanation:
Function composition and transformation combines functions together using operations such as addition, subtraction, multiplication, division and substitution. To find each, perform the operation with the functions f(x) = 2x+1 and
.
(f+g)(x) is the functions f and g added together with 2 substituted for x.

(f·g)(x) is function composition that means f(g(x)) or substitute g(x) into f(x).

f(x) / g(x) is division of the two functions. Division can only occur with polynomials if they share the same factors or things which multiply to create them. If none are present, do not simplify.

This cannot be simplified.
f(2) + g(-2) means find the function value of f at 2 and the function value of g at -2 then add them together.

40= 1,2,4,5,8,10,20,40
48= 1,2,3,4,6,8,12,16,24,48
the gcf is 8.
1. x/-3=-15
x=45
2. -7+3(-12)÷-3
-7+12
5
3. f(-4)=(-4)²-(-4)
f(-4)=16-(-4)
f(-4)=20
4. x-9=17
5. 2x+3=35
6. -8-12-(-20)
-20-(-20)
0
7. -2(-3)²(-1)
-2(9)(-1)
-18(-1)
18
8. x-(-2)
9. subtract 7 then divide by -2
10. 6+(-18)+(-13)+9
-12-4
-16
11. 5x=11
12. division property
13. -3³ = -27
14. x/2-3=7
x/2=10
x=20
15. 2x-5=15
16. x/-4-(-8)=12
x/-4=4
x=-16
17. 168
18. 16-20-(-8)-9
-4-(-8)-9
4-9
-5
Answer:
Step-by-step explanation:
Given the definite integral
, we to evaluate it. Using integration by substitution method.
Let u = 1-2x⁵ ...1
du/dx = -10x⁴
dx = du/-10x⁴.... 2
Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

![= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} } \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du } \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}] \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B-1%7D%7B10%7D%20%5Cint%5Climits%20%7B%5Cdfrac%7Bdu%7D%7Bu%5E5%7D%20%7D%20%20%5C%5C%5C%5C%3D%20%5Cdfrac%7B-1%7D%7B10%7D%20%5Cint%5Climits%20%7B%7Bu%5E%7B-5%7Ddu%20%7D%20%20%5C%5C%3D%20%5Cdfrac%7B-1%7D%7B10%7D%20%5B%7B%5Cfrac%7Bu%5E%7B-5%2B1%7D%7D%7B-5%2B1%7D%5D%20%20%5C%5C%5C%5C%3D%20%5Cdfrac%7B-1%7D%7B10%7D%20%28%7B%5Cfrac%7Bu%5E%7B-4%7D%7D%7B-4%7D%29%5C%5C%5C%5C)

substitute u = 1-2x⁵ into the result

Hence

You need to work about 12.5 hours because from your gas station job, since you work 30 hours every week, times that by 8.75$ which equals 262.5$ at the end of the week, so subtract 262.5 from 400 which is 137.5, then you need to dived that by 11 since its $ per hour, after doing that you get 12.5 hours, so you would have to work 12.5 hours at your landscaper job