All categories

3 years ago

If f(x) = 9x – 8, which of the following is the inverse of f(x)?

Mathematics

1 answer:

zheka24 [161]3 years ago

8 0

Answer: $f^{-1}$ (x) = $\frac{x+8}{9}$

Step-by-step explanation:

f(x) = 9x - 8 , to find the inverse of f(x) , replace f(x) with y , then the equation becomes

y = 9x - 8 , then make x , the subject of the formula ,

9x = y + 8

x = $\frac{y+8}{9}$

Finally , replace x , with $f^{-1}$ (x) and y with x , so we have

$f^{-1}$ (x) = $\frac{x+8}{9}$

You might be interested in

8) Find x if m m<br> i’m

Kaylis [27]

Answer:

Step-by-step explanation:

Remark

The two angles with x in their numerical value are added to get 108

Solution

10x + 2 + 4x + 8 = 108 Collect like terms

14x + 10 = 108 Subtract l0 from both sides.

14x + 10 -10 = 108 - 10 Collect like terms

14x = 98 Divide by 14

x = 98/14

x = 7

3 0

2 years ago

Find soluton to x^2-14x+49=25

Artyom0805 [142]

$\boxed{x=12 \ and \ x=2}$

<h2>Explanation:</h2>

In this exercise, we have the following equation:

$x^2-14x+49=25$

We can write this Quadratic Equation in Standard Form as follows:

$x^2-14x+49=25 \\ \\ Subtract \ 25 \ from \ both \ sides: \\ \\ x^2-14x+49-25=25-25 \\ \\ x^2-14x+24=0 \\ \\$

So this is a Non-perfect Square Trinomial. To factor out this, let's choose two numbers such that:

The sum is -14
The product is 24

Those numbers are:

-12 and -2
SUM: -12-2 = -14
PRODUCT: (-12)(-2)=24

So we can write this as:

$x^2 + (a + b)x + ab=(x + a)(x + b) \\ \\ a=-12 \\ b=-2 \\ \\ x^2-14x+24=(x-12)(x-2)=0 \\ \\ So \ the \ solutions \ are: \\ \\ \boxed{x=12 \ and \ x=2}$

<h2>Learn more:</h2>

Quadratic Ffrmua: brainly.com/question/10188317

#LearnWithBrainly

6 0

2 years ago

Consider a home mortgage of $250,000 at a fixed APR of 4.5% for 30 years. a. Calculate the monthly payment. b. Determine the t

lianna [129]

Answer:

a. payment: $1266.71

b. total paid: $456, 015.60

c. fraction to principal: 54.8%; fraction to interest: 45.2%

Step-by-step explanation:

The amortization formula tells you the monthly payment is ...

A = P(r/12)/(1 -(1 +r/12)^(-12t))

Payment on principal P at annual rate r for t years.

A = $250,000(0.045/12)/(1 -(1 +0.045/12)^(-12·30)) ≈ $1266.71

The monthly payment is $1266.71.

360 monthly payments of $1266.71 will have a total value of ...

360 × $1266.71 = $456,015.60 . . . . total amount paid

Of course, $250,000 is paid on the principal. That percentage is ...

$250,000/$456,015.60 × 100% ≈ 54.8% . . . to principal

The remaining fraction is paid for interest:

100% -54.8% = 45.2% . . . to interest

8 0

2 years ago

A new car is purchased for 23900 dollars. The value of the car depreciates at 14.25% per year. To the nearest tenth of a year, h

svp [43]

Answer:

The value of the car will be 6100 dollars in 8.8 years

Step-by-step explanation:

Present value of car = $23900

The value of the car depreciates at 14.25% per year

Let x be no. of years in which the value of the car becomes 6100 dollars

Formula: $N(t)=N_0(1-r)^t$

Substitute the values :

$6100=23900(1-\frac{14.25}{100})^x\\\frac{6100}{23900}=(1-\frac{14.25}{100})^x\\x=8.8$

Hence the value of the car will be 6100 dollars in 8.8 years

7 0

3 years ago

Read 2 more answers

A bag contains 15 green, 18 yellow, and 16 orange balls. One ball is randomly selected. To the nearest percent, what is the prob

evablogger [386]

Since the bag contains 15 green, 18 yellow, and 16 orange balls, the total number of balls in the bag are 15+18+16=49.

Therefore, the probability of the event that the drawn ball is yellow is given by:

P(yellow)= $\frac{Number of Yellow Balls}{Total Number of Balls}$

$\therefore P(Yellow)=\frac{18}{49}\times 100\approx36.73\approx37$ %

Thus, the the probability of the event, to the nearest percent, that the drawn ball is yellow is 37%.

5 0

2 years ago

Read 2 more answers