Find g-1(x) when g(x)=3/5x-9

Mathematics

1 answer:

eimsori [14]3 years ago

6 0

Answer:

$g^{-1}$ (x) = $\frac{5x+45}{3}$

Step-by-step explanation:

let y = g(x) and rearrange making x the subject

y = $\frac{3}{5}$ x - 9 ( add 9 to both sides )

y + 9 = $\frac{3}{5}$ x

Multiply both sides by 5 to clear the fraction

5y + 45 = 3x ( divide both sides by 3 )

$\frac{5y+45}{3}$ = x

Change y back into terms of x, thus

$g^{-1}$ (x) = $\frac{5x+45}{3}$

You might be interested in

Let f(x) = x2- 3x - 7. Find f(-3)

Alexxx [7]

F(x) = x^2 - 3x - 7
f(-3) = (-3)^ 2 - 3(-3) - 7
f(-3) = 9 + 9 - 7
f(-3) = 18 - 7
f(-3) = 11

6 0

2 years ago

3. Suppose your bank honors a check for which you don't have sufficient funds in your checking account. This action means that y

ololo11 [35]

<span>If you had a check that you don't have sufficent funds for that has been run through the bank the bank will usually charge you an overdraft fee. This means that you have arranged an overdraft loan/agreement with the bank. The bank will go ahead and pay the fund to the person or company you wrote the check to. You will have a certain amount of time to put the money back into your account and pay the overdraft fee. Many banks will give you 24 hours to cover the check before they charge you a fee. The fee is usually around $25 dollars, but could be more depending on your bank rules. </span>

6 0

2 years ago

Kyra is using rectangular tiles of two types for a floor design. A tile of each type is shown below: Two rectangular tiles, rect

Rudiy27

Since there is no picture shown, I just plotted the given data points myself. That is shown in the attached picture. The blue rectangle is rectangle PQRS while the orange one is rectangle JKLM. I believe there are some choices for this question but you forgot to include. Nevertheless, I will give my observations from the given figure.

The tile PQRS is bigger than tile JKLM. A rectangle is a two-dimensional shape that has two sets of equal parallel planes. Thus, its area is equal to the length multiplied by its width.

tile PQRS = (9-5)*(12-7) = 20 units²
tile JKLM = (6-4)*(10-5) = 10 units²

Tile PQRS is larger by 10 units².