9514 1404 393
Answer:
g(f(x)) = x . . . so the functions are inverses
Step-by-step explanation:
Two functions f and g are inverses of each other if ...
g(f(x)) = x or f(g(x)) = x
We are asked to evaluate g(f(x)). That will be x if the functions are inverses.
g(f(x)) = g((x+1)/2) = 2((x +1)/2) -1 = (x +1) -1
g(f(x)) = x . . . . the functions are inverses
Answer:
The location of a point on the line
Step-by-step explanation:
Generally, we can write an equation in the point slope form as follows;
y-y1 = m(x-x1)
Where m is the slope of the line
So looking at the option, we can easily see that the information we can read directly from the point-slope form is the location of a point on the line.
We can easily tell the value of (x1,y1) which easily gives out the location of that point on the line
A reflection over the line y=x implies exchanging the x and y coordinates of a point. For example if you take a generic point (a,b) then its reflection over y=x is (b,a). Our point is (-1,3) so its reflection over y=x is the point (3,-1).
Then we have to translate it two units left. Translating a point left means that we are moving towards negative x values so we need to substract 2 from the x coordinate:
Finally we have to translate it 1 unit up towards positive y values so we have to add 1 to its y coordinate:
And these are the final coordinates. In the following picture you have the points you get after each step (from A to D) with the y=x line in blue:
Answer:
8 in
Step-by-step explanation:
Area = (diagonal 1 x diagonal 2)/2
60 = (diagonal 1 x 15)/2
60 x 2 = diagonal 1 x 15
120 = diagonal 1 x 15
diaognal 1 = 120/15 = 8
