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3 years ago

What are the steps of determine an inverse of a function?

Mathematics

1 answer:

Yuki888 [10]3 years ago

5 0

Step-by-step explanation:

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

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

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

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

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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1. Explain why n root a^n= |a| when n is even, but not when n is odd.

kogti [31]

Step-by-step explanation:

In the expression a^n, for integer values of n greater than 1, there are n factors. For example, a^2 = a * 2 (2 factors), a^3 = a * a * a (3 factors), etc.

For a non-negative value of a, a^n is non-negative for all values of n.

If a is negative, and n is even, then a^n is non-negative.

If a is negative, and n is odd, then a^n is negative.

|a| is non-negative for all values of a.

sqrt_n(a^n) is negative for negative a and odd n, but |a| is always non-negative, so sqrtn(a^n) cannot equal |a| for odd n.

8 0

2 years ago

Trailer will be used to transport 40 kg crate to store. The greatest amount of weight that can be loaded onto the trailer is 105

Scorpion4ik [409]

You can still transport 2040 KG crates to the store.

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2 years ago

Joey had 26 game cards. His friend Richard gave him some more, and now Joey has 100 cards. How many cards did Richard give to Jo

Roman55 [17]

Given:

Joey had 26 game cards.

His friend Richard gave him some more, and now Joey has 100 cards.

To find:

How many cards did Richard give to Joey?

Solution:

Let x be the number of cards that Richard give to Joey.

Joey had 26 game cards.

Now, the total cards joey has $=26+x$

Joey has total 100 cards.

$26+x=100$

$x=100-26$

$x=74$

Therefore, Richard gave him 74 cards.

3 0

2 years ago

What is the slope for the equation: y = - 4x + 5?

Iteru [2.4K]

Answer:

m = − 4

Step-by-step explanation:

i got this correct

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2 years ago

Graph the system of linear inequalities <br><br> y>x-3<br> y<-x+2

Musya8 [376]

Answer:

it'll be a graph like this. the blue line is y<-x+2 and you would shade everything below this line because it's less than. the green is y>x-3 so you would shade everything above this line because it is greater than.

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2 years ago