All categories

3 years ago

TRUE OR FALSE: FOR ANY FUNCTION, X=F^-1(Y), THEN Y=F(X). PLEASE EXPLAIN

Mathematics

1 answer:

Vesnalui [34]3 years ago

7 0

Answer:

True.

Step-by-step explanation:

For example let f(x) = 3x + 1 then f-1(x) is found as follows

Let f(x) = y = 3x + 1 then

3x = y - 1

x = (y-1) / 3

x = f-1(x) = (x - 1)/3.

So:

Replacing the x in y by (x - 1)/3 :-

x = f(-1)(y) = ( (3x + 1) - 1) / 3

= 3x / 3

= x.

So y = f(x).

You might be interested in

K=m-n÷y (make y the subject)

Mkey [24]

Answer:

y = $\frac{n}{K - m}$

Step-by-step explanation:

When doing problems like these, you should go through the process like using PEMDAS:

P - Parenthesis ()

E - Exponents $x^{2}$

M - Multiply x

D - Division ÷

A - Addition +

S - Subtraction -

1) Since there aren't any Parentheses, or exponents, we should then check for any use of Multiplication.

As shown, there are no shown methods of multiplying.

BUT there is Division, so we will do the opposite of division, which is multiplication.

K = m - n ÷ y

y(K = m - n ÷ y)y

^ Trying to multiply 'y' onto both sides, because when you do something to one side, you do to the other. ^

'y' then cancels out on one side, so you will be left with:

= m - n

But on the other side you will have:

So your problem will look like:

Ky = m - n

2) Since we are trying to get 'y' by itself, instead of multiplying now, we will be dividing, because:

K(y) = Ky or you can also say K x y = Ky

Back to the problem, we will now divide 'K' to both sides, as stated before:

What you do to one side, you do to the other:

$\frac{Ky}{K} = \frac{m - n}{K}$

'K' will cancel out on one side:

$\frac{Ky}{K} = y$

Leaving you with:

'y'

While the other side, will be left as:

$\frac{m - n}{K}$

So your final answer will be:

$y=\frac{m - n}{K}$

7 0

3 years ago

The area of a square is 128x3y4 cm2. What is the length of one side of the square in simplest form

AlekseyPX

Answer:

We know that the area of the square of side length L is:

A = L*L = L^2

In this case, we know that the area is:

A = 128*x^3*y^4 cm^2

Then we have:

L^2 = 128*x^3*y^4 cm^2

If we apply the square root to both sides we get:

√(L^2) = √( 128*x^3*y^4 cm^2)

L = √(128)*(√x^3)*(√y^4) cm

Here we can replace:

(√x^3) = x^(3/2)

(√y^4) = y^(4/2) = y^2

Replacing these two, we get:

L = √(128)*x^(3/2)*y^2 cm

This is the simplest form of L.

7 0

3 years ago

Of the athletes at Washington High School, 21 are on the gymnastics team and 51 are not.

Lady bird [3.3K]

I believe the correct answer is 7 out of 24(7/24).

7 0

3 years ago

What is the greatest common factor of 27,45,63 and then 24 40 64

inn [45]

The first one is 9 and the second one is 8.

4 0

3 years ago

Read 2 more answers

Write an algebraic expression for the situation.

serg [7]

7(y+1/3) should be if.

8 0

3 years ago