If f(x)=3x+2, find f(f^-1(14))

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer: f(x) = 3x + 2x = 3f-1(x) + 2x - 2 = 3f-1(x)(x - 2)/3 = f-1(x)(14 - 2)/3 = f-1(14)12/3 = f-1(14)4 = f-1(14) f(f-1(14)) = f(4)f(4) = 3(4) + 2f(4) = 12 + 2f(4) = 14 A function and its inverse are inverse operations, like addition and subtraction. They undo each other. f(f-1(x) = x

Related Questions

Which graph below represents an inequality that begins with y ≤
Multiply 4/9 x 1 & 4/5 x 2/5 A. 1 & 32/45 B. 7/16 C. 8/25 D. 1 & 10/19
At least 350 students attended the band concert friday night
What is the y-intercept of the line?y= -2x - 8y-intercept =
f(g) = 895 + 30gwhere g represents the number of times he played golf during the year. Last year he paid $ 2,065 as a total golfing fee. For how many games did he pay a greens fee?

Any ideas on how to find the value of 'x' on either 13 or 16? Anything helps!

Answers

(x+5)/4=1/2
first get rid of the fraction
multiply both sides by 4
x+5=2
subtract 5
x=-3

(2x+1)/(4x-1)=2/3
get rid of the fractions,
multiply both sdies by (4x-1)(3)
(2x+1)(3)=(2)(4x-1)
distribute
6x+3=8x-2
subtract 6x form both sdies
3=2x-2
add 2
5=2x
divide by 2
5/2=x

if Scott wood makes 91% of all his free throws then what is the probability that he will make all of his next 6 attempts

Answers

Well, it seems tome that if he makes 91% of all his free throws, then every time
he steps up to the line, there's a 91% chance that he'll make THAT throw.

Now the basketball has no memory, so the probability is the same for each
attempt, and the probability of succeeding on two consecutive attempts is
91% of the probability of succeeding on the first one, and so on and so forth.

So the probability of 6 consecutive baskets is (91%) x (91%) x ... etc, 6 times.

That's just (0.91)⁶ = 56.787 percent.

56.79%. that is the answer to your question.

A party hat has a volume of 75 cubic inches . If the radius is 5 inches , what is the height of the party hat?

Answers

The height of the party hat is 2.63 inches.

Given that,

A party hat has a volume of 75 cubic inches.

If the radius is 5 inches,

We have to determine,

What is the height of the party hat?

According to the question,

A party hat has a volume of 75 cubic inches.

If the radius is 5 inches,

The volume of the cone is determined by the formula,

$\rm v = \pi r^2(h)/(3)$

Then,

The height of the party hat is,

$\rm v = \pi r^2(h)/(3)\n\n75 = \pi* (5)^2 * (h)/(3)\n\n75 = 25 * (22)/(7) * (h)/(3)\n\n75 = 25 * 1.14 * h\n\n75 = 28.5 * h\n\nh = (75)/(28.5)\n\nh =2.63$

Hence, The height of the party hat is 2.63 inches.

For more details refer to the link given below.

brainly.com/question/743546

Answer:

About 2.86 inches

Step-by-step explanation:

The formula for the volume of a cone is $\pi r^2(h)/(3)$ . Plugging the known numbers into this formula, you get:

$75=\pi \cdot 5^2\cdot (h)/(3)$

$(h)/(3)\approx 0.955$

$h\approx 2.86$ inches. Hope this helps!

An asteroid follows a hyperbolic path defined by the equation 16x2 − 9y2 = 576. If one of its foci is the sun's position, the minimum distance between the asteroid and the sun is AU. (Note that x and y are expressed in astronomical units, AU.)

Answers

Answer: 4

Step-by-step explanation: I got this right on Edmentum.

The minimum distance between the asteroid and the sun is 10 - 6 =4

The given hyperbolic path defined as
divide both the sides by 576,

The general equation of

hyperbola is written as
;

Compare with above mention equation
Here

The distance between the asteroid and the sun is seen by figure -1
or
⇒c =10

The minimum distance between the asteroid and the sun is 10 -6 =4

Find the equation of the circle whose center and radius are given.center ( 5, 6), radius = 3

Answers

Answer:

$(x-5)^2+(y-6)^2 =9$

Step-by-step explanation:

The equation of circle is given by:

$(x-h)^2+(y-k)^2 = r^2$

where,

(h, k) is the center

r is the radius of the circle.

As per the statement:

Given: center ( 5, 6), radius = 3 units

⇒(h, k) = (5, 6) and r = 3 units

Substitute these in [1] we have;

$(x-5)^2+(y-6)^2 = 3^2$

⇒ $(x-5)^2+(y-6)^2 =9$

Therefore, the equation of the circle is, $(x-5)^2+(y-6)^2 =9$

the general formula of the circle is (x-h)^2 + (y-k)^2 = r^2
where (h,k) the center of the circle and r is the radius
so , the equation is (x-5)^2 + (y-6)^2 = 9

Solve this equation: –9h – 6 + 12h + 40 = 22.

Answers

Let's solve your equation step-by-step.−9h−6+12h+40=22Step 1: Simplify both sides of the equation.−9h−6+12h+40=22Simplify: (Show steps)3h+34=22Step 2: Subtract 34 from both sides.3h+34−34=22−343h=−12Step 3: Divide both sides by 3.3h3=−123h=−4Answer:h=−4

Combine like terms to get 3h + 34 = 22, subtract 34 from 22 to get 3h = -12, divide by 3 on both sides to get h= -4

Other Questions

There are 7 colors on a color wheel . you have 25 spins to get blue. after 24 spins, you have not been successful . what is the likelihood that you will succeed on the next spin?a) 1/25b) 1/7c) 24/25d) 3/4

Choose the correct classification of 2x + 10x2 − x3 by number of terms and by degree.Third degree trinomial Fourth degree trinomial Sixth degree polynomial First degree binomial

HELP ME PLEASEEE!! 48 degrees 96 degrees x =

On federal income tax returns, self-employed people can depreciate the value of business equipment. Suppose a computer valued at $2765 depreciates at a rate of 30% per year. Estimate the number of years it will take for the computer's value to be less than $350.