Answer: f⁻¹(x)=2x-6
Step-by-step explanation:
To find the inverse of an equation, you replace y with x and x with y. Then, you solve for y.
y=1/2x+3 [replace y with x and x with y]
x=1/2y+3 [subtract both sides by 3]
x-3=1/2y [multiply both sides by 2]
y=2(x-3) [distribute]
y=2x-6
Now, we know the inverse function is f⁻¹(x)=2x-6.
Answer:
Step-by-step explanation:
Remark
When a quadrilateral is inscribed in a circle, the opposite angles are supplementary. x is opposite 112 degrees. Therefore x and 112 add up to 180 degrees.
Formula
x + 112 = 180 Subtract 112 from both sides.
Solution
x + 112-112 = 180 - 112
x = 68
Answer
x = 68
Answer:
Step-by-step explanation:
The slope-intercept equation is y=mx+b.
The slope formula is 
Our three points are (5,5), (-5,-7) and (0,-1)
Using our slope formula our slope becomes 
Then, if we use one of our points (pick whichever you want, although (0,1) is the easiest) to solve the equation. So,
. When we solve for x and y, we get -1=0+b, or b=-1.
When we plug that back into the equation, we get
.