Ask question

Ask question

All categories

2 years ago

5

If f(×)=2×^2+3, then which of the following represent f(-1)?

1 answer:

eimsori [14]2 years ago

3 0

To find the inverse of this function, we first need to replace f(x) with y.

y = 2x^2 + 3

Now, we swap x and y

x = 2y^2 + 3

Now, we solve for y.

-3

x - 3 = 2y^2

Sqrt both sides.

√(x - 3) = 2y

Divide by 2

√(x - 3)/2 = y

Replace y with f^-1(x)

√(x - 3)/2 = f^-1(x)

Just realized you were asking for f(-1), not f^-1(x)

Feels bad.

f(-1) = 2(-1^2 + 3)

f(-1) = 2(-1^5)

f(-1) = 2(-1)

<u>f(-1) = -2</u>

I'm leaving the original answer in case you also need the inverse function. :)

You might be interested in

In how many ways can four people with different heights line up single-file so that exactly two people are taller than the perso

yanalaym [24]

The number of ways by which exactly 2 people are taller than the person behind them is; 6.

<h3>What number of ways can they line so that exactly two people are taller than the person behind them?</h3>

It follows from content that since 4 individuals with different heights are to line up, the 2 individuals who must be taller than the person behind them are represented as one entity and must be in the 1st and 2nd position or the 2nd and 3rd position.

Hence, the number of ways is; 6 upon counting the number of possible outcomes.

Read more on arrangement;

brainly.com/question/1427391

#SPJ1

6 0

2 years ago

you can spend at most $20 on tomatoes and red peppers for a soup. tomatoes cost $2.50 per pound and red peppers cost $4 per poun

Ber [7]

<u>Answer-</u>

$\boxed{\boxed{2.50x+4y\leq 20}}$

<u>Solution-</u>

The total money that you have or maximum amount that you can spend = $20

Let's assume,

x = Number of tomatoes bought

y = Number of red peppers bought

Price of tomatoes per pound = $2.50

Price of red peppers per pound = $4

Hence,

Total cost of tomatoes = $2.5x

Total cost of red peppers = $4y

As you can spend at most (any amount less than or equal to) $20, so

$2.5x+4y\leq 20$

Taking a point as origin (0, 0) and then putting it in the equation,

$\Rightarrow 2.5(0)+4(0)\leq 20\\\\\Rightarrow 0\leq 20$

As this satisfies, so the shaded region will be towards that point i.e origin

From the graph, the two solutions that are on the boundary line are (8, 0), (5, 0)

6 0

2 years ago

AfilCa [17]

You need to put the numbers it give you, algo will am I supposed to solve that

3 0

3 years ago

Simplify 3 x (7 - 2) + 6

erastovalidia [21]

Answer: 1

Step-by-step explanation:

8/-4 ÷ -3/9

8/-4 × 9/ -3 = 6

5 0

2 years ago

Explain your answer !! <br> Have a nice day <br><br> Will give braisnlt

lora16 [44]

Answer:

The equations are:

$4H + 3P = 13.75$

$2H + 5P = 11.25$

$Hotdog = 2.50$

$Pretzel = 1.25$

Step-by-step explanation:

Let:

$H = hot\ dog$

$P =Pretzel$

For Tina:

$4H + 3P = 13.75$

For Doug:

$2H + 5P = 11.25$

Solving for the price of both items:

We have:

$4H + 3P = 13.75$ --- (1)

$2H + 5P = 11.25$ --- (2)

Multiply (2) by 2

2 * ( $2H + 5P = 11.25$ )

-------------------

$4H + 10P = 22.50$ --- (3)

Subtract (3) from (1)

$4H + 3P = 13.75$

$4H + 10P = 22.50$

----------------------

$4H - 4H + 3P - 10P = 13.75 - 22.50$

$3P - 10P = 13.75 - 22.50$

$-7P = -8.75$

Solve for P

$P = \frac{-8.75}{-7}$

$P = 1.25$

Substitute 1.25 for P in (2)

$2H + 5P = 11.25$

$2H + 5 * 1.25 = 11.25$

$2H + 6.25 = 11.25$

Collect Like Terms

$2H = 11.25-6.25$

$2H = 5$

Solve for H

$H = \frac{5}{2}$

$H = 2.50$

3 0

2 years ago