All categories

2 years ago

Find the inverse of f(x)= -4/x-1 +2

Mathematics

1 answer:

Flura [38]2 years ago

8 0

Answer:

The inverse f-1(x) = (2 - x)/4 + 1.

Step-by-step explanation:

Let y = -4 /(x - 1) + 2

-4/(x - 1) = y - 2

x - 1 = (y - 2) / -4

x = -(y - 2)/4 + 1

x = (2 - y)/ 4 + 1

Now replace x by f-1(x) ( the inverse) and y by x:

f-1(x) = (2 - x)/4 + 1.

You might be interested in

Pretty sure this work is wrong , need it corrected

Makovka662 [10]

C/30 = 8/12
c/30 = 2/3
3c = 60
c = 60/3
c = 20

8 0

2 years ago

Maria is draining her hot tub at a rate of 5.5 gallons per minute. Is the amount of water left in the pool a function of the amo

AleksandrR [38]

The amount of water in the pool after t minutes is modeled by the linear function $V(t) = V(0) - 5t$ , hence it is a function of time.

A linear function for the amount of water in the pool, considering that it is drained at a rate of a gallons per minute, is modeled by:

$V(t) = V(0) - at$

In which V(0) is the initial volume.

In this problem, draining her hot tub at a rate of 5.5 gallons per minute, hence $a = 5.5$ , and:

$V(t) = V(0) = 5.5t$

Which is a function of time.

To learn more about linear functions, you can take a look at brainly.com/question/13488309

8 0

2 years ago

If a = -8, b = -7, c = 6, then verify that (a+b) + c = a+ (b+c) tysm for de help ✨

NISA [10]

The given information is,

→ a = -8

→ b = -7

→ c = 6

Let's verify the problem,

→ (a+b) + c = a+ (b+c)

→ (-8 - 7) + 6 = -8 + (-7 + 6)

→ -15 + 6 = -8 - 1

→ -9 = -9

→ [ LHS = RHS ]

Hence, it is equal and verified.

5 0

1 year ago

Sixteen blocks are needed to build a four-step double staircase like

OleMash [197]

16 blocks = 4 steps
x blocks = 50 steps
(16 blocks x 50 steps)/4 steps
= 200 blocks

6 0

2 years ago

The sum of a number and three more than the number.

Likurg_2 [28]

Answer:

Step-by-step explanation:

7 0

2 years ago