First, conceptually understand what an inverse function is, it makes solving it very intuitive. An inverse function is simply a function which has points (y,x) for every point (x,y) of the parent function. So you are essentially taking all points of the parent function and switching the x and y coordinates for each. Those switched coordinates are produced by the "inverse function".
Mathematically then, finding the inverse function is a matter of solving for x and then switching the variable labels. In this case:
y=2x+1 subtract 1 from both sides
y-1=2x divide both sides by 2
(y-1)/2=x now just switch the labels for the variables...
y=(x-1)/2 so
f^-1(x)=(x-1)/2 is the inverse of f(x)=2x+1
Answer:
$25
Step-by-step explanation:
18.75 is 75% of a value. You can easily find the answer by dividing 18.75 and 0.75.
When you have a problem like x*5=30, you divide 30/5 to get 6. Same here, x*0.75=18.75. Divide 18.75/0.75 to get the answer.
Answer:
1
Step-by-step explanation:
3(1)+5=8
3(0)+5=5
3(2)+5=11
3(3)+5=14
3(4)+5=17
.....
Need=51
S=12.75
G=6.5/hr•2hr=13
W=5.25/hr•5hr=26.25
S+g+w=12.75+13+26.25=52
Yes because total will be 52
......
5x+3≥23
5x≥20
x≥4
[4,8,12]
.......
9w
.....
38.88+1.87x
.....
9x-3
....
x=56
...
69=18+19+t
69=37+t
32=t
...
77-20.1-10.39=s
...
2
....
11 doesn't have an equation to solve.
...
12 doesn't have a solution to solve.
....
n≤7
...
32≤14+m
18≤m
....
120≤20+m
100≤m
...
d=50t
...
Y=5.5x
....
Y=4x
...
Dependent variable is distance.
Suppose one bus travels at x km/h, the second bus is 17 km/h slower so it is x-17
the first bus travels a total of 7x km, the second bus travels 7(x-17)km, together they travel the total distance of 1631 km
7x + 7(x-17) =1631
7x + 7x -119 =1631
14x=1750
x=125
x-17=108