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3 years ago

If f(x) = 5x - 1, then f^-1(x)=

Mathematics

2 answers:

lesantik [10]3 years ago

7 0

F(-1)=5(-1)-1
-5-1
-6
Your answer is-6

Airida [17]3 years ago

3 0

Answer:

$f^{-1}$ (x) = $\frac{x+1}{5}$

Step-by-step explanation:

let y = f(x) and rearrange making x the subject , that is

y = 5x - 1 ( add 1 to both sides )

y + 1 = 5x ( divide both sides by 5 )

$\frac{y+1}{5}$ = x

Change y back into terms of x , with x = $f^{-1}$ (x) , then

$f^{-1}$ (x) = $\frac{x+1}{5}$

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Cloud [144]

The first 5 terms in an arithmetic sequence is 4,2,0,-2,-4

Explanation:

The general form of an arithmetic sequence is

$a(n)=a+(n-1)d$

where a denotes the first term of the sequence, d denotes the common difference.

Here a = 4 and d = -2

To determine the consecutive terms of the sequence, let us substitute the values for n.

To find the second term, substitute n = 2 in the formula $a(n)=a+(n-1)d$

$a(2)=4+(2-1)(-2)$

Simplifying,

$a(2)=4-2=2$

Similarly,

For n = 3,

$a(3)=4+(2)(-2)=0$

For n = 4,

$a(4)=4+(4-1)(-2)\\a(4)=4+(3)(-2)\\a(4)=4-6\\a(4)=-2$

For n = 5,

$a(5)=4+(5-1)(-2)\\a(5)=4+(4)(-2)\\a(5)=4-8\\a(5)=-4$

Thus, the first 5 terms of the arithmetic sequence is 4,2,0,-2,-4

5 0

3 years ago

Help plz,BIG POINTS,also plz show me the steps as best as possible

Sidana [21]

Answer:

The correct answer is option 3.

Step-by-step explanation:

Given : ΔPQR, QM is altitude of the triangle

PM = 8

MR = 18

To find = QM

Solution :

PR = 8 + 18 = 26

Let, PQ = x , QR = y, QM = z

Applying Pythagoras Theorem in ΔPQR

$PQ^2+QR^2=PR^2$

$x^2+y^2=(26)^2$ ..[1]

Applying Pythagoras Theorem in ΔPQM

$PM^2+QM^2=PQ^2$

$8^2+z^2=(x)^2$ ..[2]

Applying Pythagoras Theorem in ΔQMR

$MR^2+QM^2=QR^2$

$18^2+z^2=(y)^2$ ..[3]

Putting values of $x^2$ and $y^2$ from [2] and [3 in [1].

$8^2+z^2+18^2+z^2=(26)^2$

$2z^2=(26)^2-(8)^2-(18)^2$

$2z^2=288$

$z^2=144$

z = ±12

z = 12 = QM ( ignoring negative value)

The length of QM is 12.

6 0

3 years ago

Mary O’Connell is earning a weekly salary of $521.60 as a payroll clerk. She has accepted a new assignment in the tax processing

docker41 [41]

Answer:

$ 65.59 more per week

Step-by-step explanation:

Assuming she worked <u>52</u> weeks a year as a clerk :

30534 - <u> 52</u> * 521.6 = $ 3410.80 more per year

now each WEEK that is 3410.80 / 52 = 65.59

7 0

2 years ago

What is the missing numerator?

den301095 [7]

Answer:

It is 2/7 please mark me brainliest

Step-by-step explanation:

7 0

2 years ago

Fifteen more than four times a number is equal to the difference between 191 and four times the number. Find the number.

Semenov [28]

Answer:

The number would be 22.

Step-by-step explanation:

In order to solve for the number, we need to make both statements into numerical statements.

Fifteen more than four times a number = 15 + 4x

difference between 191 and four times the number = 191 - 4x

Now we set them equal to each other.

15 + 4x = 191 - 4x -----> Add 4x to each side

15 + 8x = 191 ------> Subtract 15 from both sides

8x = 176 -------> Divide by 8

x = 22

5 0

3 years ago