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3 years ago

The composition of a function and its inverse is always

Mathematics

2 answers:

rusak2 [61]3 years ago

7 0

Lets try this with an example.

Suppose we have a function $f(x)=2x$ .

Calculate its inverse $f^{-1}(x)=\dfrac{x}{2}$ .

And now just simply try to find the composition,

$f(f^{-1}(x))=f\Big(\dfrac{x}{2}\Big)=2\cdot\dfrac{x}{2}=x$ .

The answer is the composition of a function and its inverse is always function $g(x)=f(f^{-1}(x))=\boxed{x}$ .

Hope this helps.

dusya [7]3 years ago

4 0

Answer: x

Step-by-step explanation:

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Answer:

see below

Step-by-step explanation:

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3 years ago

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Exiplicit formula:

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3 years ago

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lora16 [44]

Answer:

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2 years ago

When a number is increased by 8.2%, the result is 106. What is the original number to the nearest tenth?

ruslelena [56]

Answer:

Step-by-step explanation:

Let the original number = x

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3 years ago

How do i factor s^2+9s=-20

Talja [164]

To factor you have to do this:

s^2 + 9s = -20
+ 20 +20

s^2 + 9s + 20 = 0

now you need to numbers that multiplied give you 20
and then those same 2 numbers have to add to 9

5 x 4 = 20
5+ 4 = 9

(x + 4) (x+ 5)

that means that x= -4, and -5

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4 years ago