Answer:
f (
x
) −
1 =
(
1/
4 x
) −
2.
Step-by-step explanation:
For inverse function, the x and y interchanges and then make y the subject again of the equation. See the working out below:
f (
x
) = 4
x + 8
f (
x
) = y
y = 4
x + 8
x = 4
y +
8 ----- interchanging y and x
Now make y the subject of the equation:
x = 4
y + 8
−
4
y = -
x + 8
y = (
−
1/
4 )
. − x
+ (
−
1/
4 ) .8
y = (
1/
4 x
) −
2
So the inverse function is:
f (x) −
1 = (
1/
4 x
) −
2
A 50% increase followed by a 33% decrease leaves you with a constant 17% increase. It is less than the original.
Answer:
-16
Step-by-step explanation:
you just subtract 2 each hour
Answer:
Step-by-step explanation:
Essentially, begin by flipping the x and y terms:
x = (1 - 2y)^2 + 5
Then, solve for y:
Because we know there is only 1 y-value for any given x-value, the inverse of the given function is also a function.
