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prohojiy [21]
3 years ago
13

If the function m not-equals 0 has an inverse function, which statement must be true? B not-equals 0

Mathematics
2 answers:
pickupchik [31]3 years ago
8 0

Answer:

A

Step-by-step explanation:

edge 2021

Kipish [7]3 years ago
6 0

Answer:

Option a: m ≠ 0

Step-by-step explanation:

After a small online search, I've found that the complete question is:

If the function f(x) = m*x + b has an inverse function, which statement must be true?

a) m ≠ 0

b) m = 0

c) b ≠ 0

d) b = 0

Ok, if g(x) is an inverse of the function f(x), then:

g( f(x)) = x

f( g(x)) = x

Let's assume that f(x) = m*x + b  has an inverse, and this inverse function is g(x).

Because f(x) is linear, g(x) is also linear, then:

g(x) = n*x + c

Let's find the values of A and B.

We know that:

f( g(x)) = x =  m*(n*x + c) + b

then

x = m*n*x + m*c + b

Then we must have:

m*n = 1

(m*c + b)  = 0

From the first equation m*n = 1

We get:

n = 1/m

The slope of the inverse function is one over the slope of the original function.

Because m is on the denominator, m can not be equal to zero (because a division by zero is not defined)

Then the correct option is the option a, m ≠ 0.          

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Answer:

Population function (Based on 2007) =  7,600 + 700n

Step-by-step explanation:

Given:

Population in 2009 = 9,000

Population in 2014 = 12,500

Computation:

Increase in population per year = [12,500 - 9,000] / 5

Increase in population per year = 700

Population in 2007 = 9,000 - [2 x 700]

Population in 2007 = 7,600

Population function (Based on 2007) =  7,600 + 700n

n = number of year

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Planes S and R both intersect plane T Which statements are true based on the diagram? Select three options OPlane S contains poi
jeka94

Answer:

Options (2), (4) and (5)

Step-by-step explanation:

Option (1).

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False.

(Point B lies on plane S and point F lies on plane R)

Option (2).

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True.

(points A and B lie on plane T)

Option (3).

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5 0
3 years ago
. Dillion deposits $150 into his account. One week later, he withdraws $26. Write an addition expression to represent this situa
Lina20 [59]

Answer:

Expression = x + 150 +(- 26)

$124 higher

Step-by-step explanation:

Given

Deposit = \$150

Withdrawal = \$26

Required

Represent the situation

Determine how much higher or lower is the remaining amount

Let the initial amount in his account be represented with x

When he deposited, the balance becomes

Balance = x + 150

When he withdrew, the balance becomes

Balance = x + 150 + (-26)

Hence, the algebraic expression is

Expression = x + 150 +(- 26)

Calculating how much higher or lower

Balance = x + 150 + (-26)

Open bracket

Balance = x + 150 -26

Balance = x + 124

Recall that the initial amount in the account is x

The difference between the balance and the x is as follows

Difference = x + 124 - x

Difference = \$124

<em>Hence, the account has a higher of $124 after both transactions</em>

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