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1 year ago

What function has an inverse which is also one-to-one?

1 answer:

4 0

If a function is defined as z = f(x), then the inverse of the function f is x = f-1 (x) i.e. f-1 defined from z to x.

In mathematics, function is an expression that explains the relationship between the variable and other variable. In this expression, one variable is independent and the other is dependent. unction and into function.

There are four types of functions. There is one to one function, many to one function, onto function, one to one and onto function.

Inverse function refers to the expression where the original output becomes the opposite.

These are the expressions used in mathematics to solve the problems and equations. In other fields of science, inverse function is also used.

To learn more about inverse function, click here:

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Given that 5 miles is 8 km, convert 19.2 km to miles

Kobotan [32]

Answer:

11.92 miles

Step-by-step explanation:

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3 years ago

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What is the axis of symmetry for the graph of y – 4x = 7 – x2

eimsori [14]

we know that

The equation in vertex form of a vertical parabola is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to the x-coordinate of the vertex

$x=h$ -----> equation of the axis of symmetry

In this problem we have

$y-4x=7-x^{2}$

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$y-7=-x^{2}+4x$

$y-7=-(x^{2}-4x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$y-7-4=-(x^{2}-4x+4)$

$y-11=-(x^{2}-4x+4)$

Rewrite as perfect squares

$y-11=-(x-2)^{2}$

$y=-(x-2)^{2}+11$

the vertex is the point $(2,11)$

therefore

the answer is

The axis of symmetry is

$x=2$

see the attached figure to better understand the problem

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4 years ago

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What is the slope of the line given by the equation y = -7x?

xeze [42]

→ Chapter : Equation of A Straight Line ←
≡ General equation of a straight line:
⇔ $y = mx+c$

≡ Solution:
⇔ To know the slope in the equation, we just need to see the variable of x
$y=-7x$
∴ So, the slope of this equation is $\boxed{-7}$

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4 years ago

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In a class full of men and women 5/9of the class are women. What is the ratio of men to women in its

Murljashka [212]

Answer:

The ratio in its simplest from is 4:5

Step-by-step explanation:

Now, let’s pick an arbitrary value for the total number of students in that class.

Let’s say we have 45 students in the class

The number of women would be 5/9 * 45 = 25

The number of men would be 45-25 = 20

So the ratio of men to women would be;

20:25 which in its simplest form = 4:5

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3 years ago

Talayah bought two journals. The second journal cost $12 more than 4/5 the price of the first journal. If she spent $30 on both,

sertanlavr [38]

The second journal is $18

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