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4 years ago

Please help asap Inverse of a Function

Mathematics

1 answer:

sergey [27]4 years ago

7 0

Answer:

$f^{-1} (x)=-\frac{1}{6}x+1$

Step-by-step explanation:

To find the inverse of a function in equation form, first I recommend changing the f(x) to a y:

y = -6x + 6

Next step is to switch the x and y:

x = -6y + 6

Now solve for the new y:

x - 6 = -6y and

$-\frac{1}{6}x + 1=y$

You can put the inverse notation back in for y like I did in the answer section above.

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Y= (x-1)^2 + 2 <br><br> change this equation into standard form

BaLLatris [955]

Answer:

x² - 2x + 3

Step-by-step explanation:

y = (x - 1)² + 2

= (x - 1)² + 2 [a - b]² = <em><u>a²- 2ab + b²</u></em>

= x²- 2x + 1 + 2

= x² - 2x + 3

Thus, the standard form of the equation is x² - 2x + 3

8 0

3 years ago

The difference of m and 3 is greater than or equal to 10

mel-nik [20]

Answer:

The answer can be calculated by doing the following steps;

Step-by-step explanation:

6 0

3 years ago

State true or false. (i) Cube of any odd number is even. F (ii) A perfect cube does not end with two zeros.T (iii) If square of

lilavasa [31]

i. Cube of any odd number is even. False

ii. A perfect cube does not end with two zeros. True

iii. If square of a number ends with 5, then its cube ends with 25. False

iv. There is no perfect cube which ends with 8. False

v. The cube of a two digit number may be a three digit number. False

vi. The cube of a two digit number may have seven or more digits. False

vii. The cube of a single digit number may be a single digit number. True

<h3>Reasons </h3>

i. Cube of any odd number is even. This statement is false because the cube of odd numbers are also odd

ii. A perfect cube does not end with two zeros. This statement is True because the cube of a two digit number cannot be a 3 digit number and therefore cannot end with two zeros.

iii. If square of a number ends with 5, then its cube ends with 25. This statement is False

Using the illustration

35^2 = 35 x 35= 1225 , its square ends with 5

35^3= 35 x 35 x 35= 42875 which ends with 75

iv. There is no perfect cube which ends with 8. This statement is False.

Using the illustration, the cube of 2 is given thus

2 * 2 * 2 = 8

The cube of 2 ends with 8

v. The cube of a two digit number may be a three digit number. This statement is False.

Using the illustration, 10 is a two digit number

10 * 10 * 10 = 1000

The cube of 10 which is a two digit number is not a three digit number and same applies to all two digit numbers

vi The cube of a two digit number may have seven or more digits. This statement is False because the cube of a two digit number can only be a four digit number.

vii. The cube of a single digit number may be a single digit number. This statement is True because the cube of a single digit number can be a single, two or three digit number.

Learn more about cube numbers here:

https://brainly.in/question/6133463

#SPJ1

6 0

2 years ago

A baboon steals an apple and runs to a nearby boulder 10.0 m to its left. The baboon reaches the boulder in 1.0s with a constant

liq [111]

Answer:

Initial velocity is zero.

Step-by-step explanation:

According to second equation of motion

$s=ut+\frac{1}{2} at^2$

where s = distance traveled

t = time taken

a = acceleration

u = initial velocity

here in the question we have

s = 10 m

t = 1 second

a = 20 $ms^{-2}$

plugging the known value in order to find the unknown which is u (initial velocity)

[tex]10=u(1)+\frac{1}{2} (20)(1)^2[/tex

10 = u +10

gives u =0

therefore initial velocity is zero.

4 0

3 years ago

Read 2 more answers

I lost track on how to do this in high school I’m helping out my lil brother

Goryan [66]

a. -7 < |-9|

b. 2 > -2

c, |-5| = |5|

4 0

3 years ago

Read 2 more answers