Answer:
c. f(x) x+1/x-1
Step-by-step explanation:
To answer this question, we need to check each answer one by one until we find the right one.
y = (x+6)/(x-6)
switch x and y
x = (y+6)/(y-6)
solve for y
x(y-6) = y+6
xy - 6x = y+6
y(x-1) = 6x+6
y = (6x+6) /(x-1) = 6(x+1)/(x-1)
f^-1(x) = 6(x+1)/(x-1)
y = (x+2)/(x-2)
switch x and y
x = (y+2)/(y-2)
solve for y
x(y-2) = y+2
xy -2x = y+2
y(x-1) = 2x+2
y = (2x+2)/(x-1)
f^-1(x) = 2(x+1)/(x-1)
y = (x+1)/(x-1) ------ correct one
switch x and y
x = (y+1)/(y-1)
solve for y
x(y-1) = y+1
xy - x = y+1
y(x-1) = x+1
y = (x+1)/(x-1)
f^-1(x) = (x+1)/(x-1)
f(x) = f^-1(x)
Answer:
2.5 cm
Step-by-step explanation:
We see the diameter is 5cm
so the radius is half the diameter
5/2 = 2.5 cm
Use substitution
Given both y values, you know that they have to be equal
3x + 3 = x - 1
2x + 3 = -1
2x = -4, divide by 2
x = -2
Now plug x value into any of the equation to find y value
y = 3(-2) + 3
y = -6 + 3, y = -3
Solution: x = -2, y = -3
Answer:
m∠5 = 67
m∠7 = 67
Step-by-step explanation:
m∠4 and m∠5 add up to 180 because they are same side interior angles.
180 - 113 = m∠5
m∠5 = 67
m∠5 = m∠7 because they are vertically opposite angles
hence, m∠7 = 67 degrees
6.5 goes in the first box and 5.5 goes in the second box.
Explanation for first box: 13+2 is 15 and half of 15 is 7.5 so you need to take 13 and subtract 7.5. Once you do that, you end up with 6.5
Explanation for second box: (The negative 7 doesn't matter because you want the absolute value) 18+7 is 25 and half of 25 is 12.5. 18-12.5 is 5.5 so the answer would be 5.5
