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
The equation of the line passing through 
and 
is
. Here
is the slope of the line.
Substituting numerical values, the equation of the line is
The equation of the line is 
Answer:
ED = 32.5
BE = 14.4
Step-by-step explanation:
Ab = 20
AC = AB + 5 = 20 + 5 = 25
AC / AB = 1.25
AB * 1.25 = AC
This means that:
AE * 1.25 = ED
CD / 1.25 = BE
AE * 1.25 = ED
26 * 1.25 = 32.5
CD / 1.25 = BE
18 / 1.25 = 14.4
Answer:
The volume of the rectangular prism should be 4.096.
Answer:
- Line XY contains ray OX and ray OY
- Line XY contains segment YX
- Ray YX exists in the diagram
Step-by-step explanation:
A ray can be named by any pair of points on an infinite line. Point O, X, and Y on the same line can be used to name rays OX, OY, XY, YX, OY, and XO. The first point named is the end point of the ray. The ray goes through the other point and continues indefinitely.
BA can be the name of a line segment, but not a ray. The line shown does not extend from point B beyond point A.
Any segment can be named by its end points in either order.
So, we have ...
- Line XY contains ray OX and ray OY
- Line XY contains segment YX
- Ray YX exists in the diagram
