The inverse of function f(x) = x/4 - 2 is:
f^(-1)(x) = 4(x + 2).
Option C is the correct answer.
We have,
To find the inverse of the function f(x) = x/4 - 2, we can follow these steps:
Step 1: Replace f(x) with y: y = x/4 - 2.
Step 2: Swap the variables x and y: x = y/4 - 2.
Step 3: Solve the equation for y.
Let's start by isolating y:
x = y/4 - 2
x + 2 = y/4 (Adding 2 to both sides)
4(x + 2) = y (Multiplying both sides by 4)
So, the inversefunction is y = 4(x + 2).
However, it's common to write the inversefunction with the variable x instead of y.
Therefore,
The inverse of function f(x) = x/4 - 2 is:
f^(-1)(x) = 4(x + 2).
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19/50
41/50
Or 83/100
Thx :)
Answer:
1:2:3
Step-by-step explanation:
The volume of the cylinder is three times the volume of the cone. i.t 7. A cone, a hemisphere and a cylinder stand on equal bases and have the exactly same height.So, The ratio of the cylinder, cone and hemisphere is 1:2:3
The pitcher was twice as old as the vase 14 years ago.
To find the number of years, x, ago when the pitcher was twice as old as the vase, we can set up an equation using their ages.
Let's say x years ago, the pitcher was twice as old as the vase.
So, the equation would be:
$(30 - x) = 2(22 - x)$
Simplifying the equation, we get:
$30 - x = 44 - 2x$
Combining like terms, we have:
$2x - x = 44 - 30$
$x = 14$
Therefore, the pitcher was twice as old as the vase 14 years ago.
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