We actually don't need to do any computation. By definition, the inverse function $f^{-1}$ changes the role of input and output. So, if a function f maps x onto y, the inverse function maps y onto x.

You have to think like this: if the function makes a step further, the inverse function makes that same step back.

This means that the composition $f \circ f^{-1}$ is always the identity function $f(x) = x$ . In fact,

$(f\circ f^{-1})(x) = f(f^{-1}(x)) = x$

So, for every function, you have

$(f\circ f^{-1})(4) = f(f^{-1}(4)) = 4$

5 0

3 years ago

A business owner buys two new office buildings. She pays $635, 895 for one building. She pays $643, 225 for the other building.

Natali5045456 [20]

Part A
From the two buildings she rents, the building costing $643, 225 price is greater than the other that costs $635, 895

Part B
Round to the nearest ten thousand:
$635, 895 ~ $640, 000
this is because 5,895 rounds to 6,000, and then this rounds to 10,000

$643, 225 ~ $640, 000
this is because 43, 225 rounds to 40,000 the nearest ten thousand

5 0

4 years ago

Which of the following statements is correct? A. An increase in the price of C will decrease the demand for complementary produc

ludmilkaskok [199]

Answer:

the answer is B...

APEX!!!

Step-by-step explanation:

3 0

3 years ago

for a certain bathub, it takes the hot water faucet 3 times as long to fill the tub as it does the cold water faucet. left on to

Ann [662]

3 minutes because half of 6 is 3 so 3 is the anwser.

3 0

4 years ago