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3 years ago

Find the inverse function of F(x) = 1/2x-6

Mathematics

2 answers:

DIA [1.3K]3 years ago

5 0

F^-1 (x) = 2x + 12 hope it help

chubhunter [2.5K]3 years ago

3 0

Answer:

$F^{-1} (x) = 2x + 12$

Step-by-step explanation:

Let's assume F(x) = y, then

$y = \frac{1}{2} x - 6$

Let us solve the equation for x.

$y + 6 = \frac{1}{2} x$

$2y + 12 = x$

Next, replace y with x and also replace x with F⁻¹(x)

Answer: $F^{-1} (x) = 2x + 12$

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5x +7 y=-17 4x – 3y = -5 Substitute.

Bond [772]

Answer:

(x,y) = (-2, -1)

Step-by-step explanation:

We start off by substituting the value of "x".

5x+7y=-17

x=- $\frac{5}{4} + \frac{3}{4}y$

We then solve 5 $5(-\frac{5}{4}+\frac{3}{4}y ) +7y= -17$

y=-1 *Substitute the value of "y"

x= - $-\frac{5}{4}+\frac{3}{4}x(-1)$

x=-2

$\left \{ {{-17=-17} \atop {-5=-5}} \right.$ This works.

5 0

3 years ago

Identify each function that has a remainder of -3 when divided x+6

Sergeu [11.5K]

Answer:

Step-by-step explanation:

According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.

So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.

For A:

$x^5 + 2x^2 - 30x + 30\\=(-6)^5 + 2(-6)^2 - 30(-6) + 30\\=-7494$

For B:

$x^4 + 4x^3 - 21x^2 - 53x + 12\\=(-6)^4 + 4(-6)^3 - 21(-6)^2 - 53(-6) + 12\\=6$

For C:

$x^3 - 10x^2 - 7\\=(-6)^3 - 10(-6)^2 - 7\\=-583$

For D:

$x^4 + 6x^3 - 10x - 63\\=(-6)^4 + 6(-6)^3 - 10(-6) - 63\\=-3$

The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.

5 0

3 years ago

Aunt Mary drove 325 miles to visit her nephew for thanksgiving. It took her 5 hours to drive from her to her nephew’s house What

Dima020 [189]

$\text{We know that Aunt Mary drove 325 miles}\\\\\text{We also know this took her 5 hours}\\\\\text{We need to find how fast she was going, in miles per hour}\\\\\text{To do this, divide 325 by 5 to see how much she drove in 1 hour}\\\\325\div5=65\\\\\text{This means that she was going 65 mph}\\\\\boxed{\text{65 mph}}$

7 0

3 years ago

Read 2 more answers

What is the fifth term in the sequence defined by f(n)=3(n-3)

Sholpan [36]

The answer is n= 3.

Hope this helps.

8 0

3 years ago

Read 2 more answers

Which of the following is the complete factorization of 3x2-6x-240?

AURORKA [14]

1. Reduce 3x2-6x-240 to x^2 - 2x - 80

2. Use " ^ " to indicate exponentiation

3. Factor x^2 - 2x - 80 using completing the square:

x^2 - 2x + 1^2 - 1^2 - 80

(x+1)^2 - 1 - 80
(x+1)^2 - 81
(x+1)^2 - 9^2 = (x+1-9)(x+1 +9), or (x-8)(x+10)

Final answer, with all factors shown: 3(x-8)(x+10)

4 0

3 years ago

Find the inverse function of F(x) = 1/2x-6​

Find the inverse function of F(x) = 1/2x-6