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noname [10]
3 years ago
11

Which function is the inverse of f(x) = 2x+3?

Mathematics
2 answers:
Strike441 [17]3 years ago
4 0

Answer:

The inverse is 1/2x -3/2

Step-by-step explanation:

Set the equation equal to y

y = 2x+3

Exchange x and y

x = 2y+3

Solve for y

Subtract 3 from each side

x-3 = 2y+3-3

x-3 = 2y

Divide each side by 2

(x-3)/2 = 2y/2

1/2x -3/2 =y

The inverse is 1/2x -3/2

Ksivusya [100]3 years ago
4 0

Answer:

f^{-1}(x)=1/2x-3/2 (the second choice)

Step-by-step explanation:

f(x) = 2x+3

y=  2x+3

interchange the x and y

x= 2y+3

solve for y

x-3=2y

x/2 -3/2 =y

\frac{1}{2} x-\frac{3}{2}

hope this helps!

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Step-by-step explanation:

Given

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Suppose the cost of single pizza and soda be x and y

In linear equation format, it can be written as

\Rightarrow x+2y=15.95\\\Rightarrow 3x+5y=45.90

Therefore, the above two equations represents the given situation.

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2 years ago
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Rufina [12.5K]

The result of the exponential expression is 81

<h3>Indices expressions</h3>

Indices are written in term of exponents

According to the expoenent law of indices

a^4 = a * a * a * a

Given the expression

(-3)^4

This means the product of -3 in four places. Mathematically

(-3)^4 = -3 * -3 * -3 * -3
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(-3)^4 = 81

Hence the result of the exponential expression is 81

Learn more on exponents here: brainly.com/question/11975096

5 0
2 years ago
Can someone check if my answers are right? I got 6,-18,54,-162,486,1458​
Lyrx [107]

Answer:

yes, you have it right except you need the 1458 negative

Step-by-step explanation:

Nice job getting them right!

8 0
2 years ago
25 POINTS SOMEONE HELP ME OUT WITH THIS PLEASEEEE BRAINLIEST ANSWER
zloy xaker [14]
1. y=7x-1

2. y=3x+b
   <u> </u><u>Sub (1, -5) into equation to find '</u><em><u>b'</u></em><u />
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3 0
3 years ago
beginning at sea level a scuba diver dove 1 2/3 feet into the water , and then dove an additional 3 2/5 feet at what elevation i
skad [1K]

The given details are illustrations of addition and subtractions of fractions.  The scuba driver is at an elevation of -5\frac{1}{15} ft below the sea  level.

Given that:

n_1 = 1\frac 23 --- the first dive

n_2 = 3\frac 25 ---- the additional dive

From the question, we understand that the diver starts at the sea level.

This is represented with 0ft.

So, the diver's elevation (d) is calculated as follows:

d = 0 - n_1 - n_2 --- we use subtraction because the diver is below the sea level

So, we have:

d = 0 - 1\frac 23 - 3\frac 25

d = - 1\frac 23 - 3\frac 25

Convert fractions

d = - \frac 53 - \frac{17}5

Take LCM

d = \frac{-5 \times 5 - 17 \times 3}{15}

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Reduce fraction

d = -5\frac{1}{15}

The above value means that the diver's elevation is at -5\frac{1}{15} ft below the sea  level.

Read more about fractions at:

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5 0
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