3 years ago

Determine the equation of the inverse of y=2^3x-1

Mathematics

2 answers:

givi [52]3 years ago

6 0

Answer:

f^-1(x)= 1/3+In(x)/3 In(2)

Step-by-step explanation:

Leya [2.2K]3 years ago

5 0

Answer:

f^-1(y) =[ In(x-2) + 1] /3

Step-by-step explanation:

The inverse of this expression is to find x

Now taking In of both sides we have

y=2^3x-1

In y = In2^3x-1

In y = (3x- 1)In 2

(Iny / In2) + 1= 3x

x =[ (Iny / In2) + 1] /3

Therefore the inverse of y is

f^-1(y) =[ (Inx / In2) + 1] /3

f^-1(y) =[ In(x-2) + 1] /3

You might be interested in

5<br> 1.<br> Explain why the slope of line a is.

dexar [7]

The slope of the line is 6/2 because if you start at the first point you go over 6 in the x direction (right) and then you have to go up in the y direction (up)

3 0

2 years ago

Justin is on a road trip. Over the past two days, he’s driven a total distance of 504 miles at an average speed of 56 miles/hour

irakobra [83]

Recall d = rt, distance = rate * time.

now, he has a speed rate of 56 mph for a distance of 504

$\bf d=rt\implies 504=56t\implies \cfrac{504}{56}=t\implies \stackrel{hours}{9}=t$

so, at that speed the whole driving time is 9 hours then. Ok, he drove 2 hours today, that means he drove 7 yesterday, 9 - 2.

how many miles is it for 7 hours at 56mph? d = rt ---> d = 56 * 7

that many miles he drove yesterday.

8 0

2 years ago

Martina spent a total of $15 at the grocery store. Of this amount, she spent $12 on fruit. What percentage of the total did she

ludmilkaskok [199]

Answer:

80%

Step-by-step explanation:

5 0

2 years ago

LekaFEV [45]

If 2 inches equal 40 miles, 4 inches would equal 80. You don’t have to do anything else because you can eliminate all the other answers. The only one it could be is B. 82.5 miles.

6 0

2 years ago

Harry took total of 27 quizzes over the course of 3 weeks

nikitadnepr [17]

Answer:

9 quizzes a week

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers