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2 years ago

How do you find inverses

Mathematics

2 answers:

pshichka [43]2 years ago

7 0

Answer:

1. First, replace f(x) with y . ...

2. Replace every x with a y and replace every y with an x .

3. Solve the equation from Step 2 for y . ...

4. Replace y with f−1(x) f − 1 ( x ) . ...

5. Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

Step-by-step explanation:

MrMuchimi2 years ago

5 0

How To Find Inverses:

1. First, replace f(x) with y . ...

2. Replace every x with a y and replace every y with an x .

3. Solve the equation from Step 2 for y . ...

4. Replace y with f−1(x) f − 1 ( x ) . ...

5. Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

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Answer:

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The constant of variation,k=252

Step by step explanation

Given that,

$speed = \frac{distance}{time}$

From the question

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By substitution we obtain,

$63= \frac{distance}{4}$

Cross multiplying we get,

$distance=63 \times 4$

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Now,

speed=56km

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By substitution:

We obtain,

$56= \frac{252}{time}$

Cross multiply

$56\times time=252$

Divide through by 56

$time= \frac{252}{56}$

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From the formula,

$speed= \frac{distance}{time}$

Which means that, speed and time varies inversely.

$speed\propto \frac{1}{time}$

Let k be variation constant

This implies that

$speed = k \times \frac{1}{time}$

$k=speed \times{time}$

Taken,

Time=4hrs

speed=56km

$k=56\times4$

$k=252$

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