What is the inverse of the function f(x) = x – 12?

Answers

Answer 1

Answer:

Final answer:

The inverse of the function f(x) = x - 12 is found by swapping x and y, and solving for y. The inverse is f-1(x) = x + 12.

Explanation:

The inverse of a function 'f' can be found by swapping the x and y. If we consider the original function as y = f(x) = x – 12, the inverse of the function will be found by reversing this as x = y – 12. Solving for 'y' to express the inverse function 'f-1(x)', we add 12 to both sides to get f-1(x) = x + 12. Hence, the inverse of the function f(x) = x – 12 is f-1(x) = x + 12. Keep in mind, the inverse of a function is a reflection of that function across the line y=x, representing a mirror image of the original.

Learn more about Inverse Functions here:

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Tatami mats are used as a floor covering in Japan. one possible layout uses four identical rectangular mats and one square mat. The area of the square mat is half the area of one of the rectangular mats. What is the length and width of one rectangular mat?

Answers

Answer with explanation:

→ Let L be the Length and B be the Breadth of rectangular mat.

Area of rectangular Mat = Length (L) * Breadth (B)

=L*B square units

→ Let , a be the side of Square.

Area of square =(Side)²

=a² square units

→→It is also, given that The area of the square mat is half the area of one of the rectangular mats.

$\rightarrow a^2=(LB)/(2)\n\nLB=2a^2\n\n \text{Length of one square mat(L)}=\frac{2a^2}{\text{Breadth(B)}}\n\n\L=\frac{2* {\text{Area of Square}}}{\text{Breadth of rectangle}}\n\nB=\frac{2* {\text{Area of Square}}}{\text{Length of rectangle}}$

So by definition, area is equal to the length (x) times the width (y). The area of the square mat is = x × y, or xy
If the area of the rectangular mat is twice that of the square mat, the area of the rectangular mat would have to be = 2 × x × y
This can be written as 2x × y, making the length of the rectangular mat twice that of the square mat's length, and the width the same as the square mat's width.

Jay has 8 apples and he ate 4 people how many apples does he have left?

Answers

Answer:

from the way you put it, it looks like he ate 4 people, so it looks like its 8 apples, but he ate 4 apples so its 4 apples.

Step-by-step explanation:

Which is a factor of 144 − 49x2? 12 - 7x2 72 – 7x2 12 – 7x 72 + 7xI only asked this question so you guys would know the other answer is wrong i took the test and this is the answer

Answers

For this case we have the following expression:

We can rewrite the expression by factoring

Rewriting the expression we have:

Then, using the distributive property for the negative sign we have:

Thus, we have that one of the factors of the given expression is:

12-7x

Answer:

A factor of the given expression is:

12-7x

option 3

Answer: Option 3(C)

Right on ED 2020, Good luck!

What is 38% of 65? I really need help even if u are wrong.

Answers

Answer:

24.7

Step-by-step explanation:

.38(65)

Answer:

38% of 65 is 24.7

Step-by-step explanation:

38% of 65

38 × 65 ÷ 100

2470 ÷ 100 = 24.7

Thus,38% of 65 is 24.7

-TheUnknownScientist

Select all the choices that decision makers could use marginal analysis for to make effective decisions. a.) producing another car
b.) consuming one more slice of pizza
c.) adding a machine to the factory
d.) buying an extra concert ticket

Answers

marginal anylasis is thinking at the margin or when right before you will make the choice

A.
producing another car
depends on how fast you can product, I don't think it is very fast, so no

B.
this is marginal thinking, you already have the pizza in front of you

c. same as A, not

D. you are already buying one

B and D

The answer to your question is B and D

sam has 3 cookies jars all three jars contain the same number of cookies if sam gets 7 more he will have 73 cookies

Answers

Answer

21 cookies

Step-by-step explanation

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