Replace the f(x) with y and proceed to make x the subject:
y=1/4x-12
y+12=1/4x
To ÷1/4 on both sides, ×4 on both sides
4(y+12)=x
4y+48=x
Now swap y with x and replace the isolated x with f(x) to get the inverse function:
Answer:
25pi
Step-by-step explanation:
First find the area of an entire circle with radius 10
A = pi r^2
A = pi 10^2
A = 100 pi
This is 1/4 of the circle so multiply the area times the fraction
A = 1/4 * 100pi
A = 25pi
Answer:
4x-6
Step-by-step explanation:
4x-6
4 is for number of doughnuts in each package, 6 is for the taken doughnuts
Answer:

Step-by-step explanation:
In order to find x with the equation
, we can play with the equation until we have x isolated on one side of the equation.
Add 13 to both sides:

Hope this helped!
Check the picture.
since the choices all have rotation about the origin, we must shift the original triangle in a suitable position. This is done by connecting any of the points of A'B'C' to the origin, and extend this line segment, as shown in the picture.
The most appropriate point is C', and we draw C" such that C'O=OC", and C', O and C" are collinear.
We see that the distance CC'' is 5.
So
Answer is:
"<span>A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin</span>"