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3 years ago

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

Mathematics

2 answers:

creativ13 [48]3 years ago

4 0

Answer: The answer would be f^-1 (x) = x/2 - 3/2

Allisa [31]3 years ago

4 0

Answer:

$y=\frac{x-3}{2}$

Step-by-step explanation:

The given function is

$f(x)=2x+3$

To find the inverse of this function, we have to replace $f(x)$ for $y$ , and then isolate $x$ , as follows

$y=2x+3\\y-3=2x\\2x=y-3\\x=\frac{y-3}{2}$

Then, we have to switch variables, as follows

$y=\frac{x-3}{2}$

Therefore, the inverse of the given function is

$y=\frac{x-3}{2}$

The graph attached shows both functions. The blue line is the inverse of $f(x)$

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The temperature was -9°F in the morning and rose to a temperature of 17°F in the afternoon. What was the change in temperature f

Anastasy [175]

The change in temperature for the day was 26 degrees F

5 0

3 years ago

A.CED.A Garnetta owned 2400 shares of Metropolitan Corporation at a price of $45.50. The stock split 4-for-3. How was Garnetta f

shtirl [24]

Garnetta will have 3,200 shares worth $ 34,125 each.

Given that Garnetta owned 2400 shares of Metropolitan Corporation at a price of $ 45.50, and the stock split 4-for-3, to determine how Garnetta was financially affected by the split the following calculation must be performed:

3 = 2400
4 = X
4 x 2400/3 = X
9600/3 = X
3200 = X
(2400 x 45.50) / 3200 = X
109200/3200 = X
34.125 = X

Therefore, Garnetta will have 3,200 shares worth $ 34,125 each.

Learn more in brainly.com/question/13981349

4 0

3 years ago

Fill in the blanks to make each equation true.

n200080 [17]

Answer: all true

Step-by-step explanation:

Look at the picture closely ull see it

6 0

3 years ago

Read 2 more answers

Please help?? its unit rate so plz help tell me how to do it

Lelechka [254]

Answer:

1.2 dollars

Step-by-step explanation:

You have to divide the dollar count by the pound count.

So basically:

6/5

This gives you 1.2 dollars.

When you do unit rate, you just have to divide one value by the other value.

The value you divide by, and the value you divde, vary depending on what the question asks.

For instance, if this question asked what the pound count for 1 dollar would be, you would end up divide the 5 pounds by 6 dollars(5/6) instead of divideing the 6 dollars by 5 pounds like we did above(6/5).

Hope this helps!

3 0

3 years ago

Read 2 more answers

Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the d

jolli1 [7]

Answer:

Segment EH and segment E prime H prime both pass through the center of dilation (A)

The complete question related to this found on brainly (ID:16812154) is stated below:

Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the dilation?

E(0,5) F(1,1) G(-2,1) H(0,1)

a) segment EH and segment E prime H prime both pass through the center of dilation.

b)The slope of segment EF is the same as the slope of segment E prime H prime.

c) segment E prime G prime will overlap segment EG. segment

d) EH ≅ segment E prime H prime.

Step-by-step explanation:

∆EFG = Original image

∆EFG is dilated to give ∆E'F'G'

∆E'F'G' = New image

Scale factor = 3

Center of dilation = (0,1) = H(0,1)

Coordinates ∆EFG : E(0,5) F(1,1) G(-2,1)

To determine the statement that is true about the dilation from the options,

First we would make a diagram on the coordinates of ∆EFG and center of dilation (H).

Find attached the diagram.

Length GF = 3unit

Length G'F' = 3×scale factor = 9unit

Length EH = 4unit

Length E'H' = 4×scale factor = 12unit

Then we would move 3units to the left on same line from G to get the coordinate of G'(mark the point).

Also move 3units to the right on same line from F to get the coordinate of F'(mark the point).

Both of these give length of G'F' = 9unit

Now move 8units to the top from E to get the coordinate of E'(mark the point).

From this you get length E'H' = 12unit

Draw lines connecting the three points to get ∆E'F'G'

See diagram for better understanding

From the diagram, EH and E'H' both pass through (0,1). The other options are wrong.

Therefore, Segment EH and segment E prime H prime both pass through the center of dilation (A)

5 0

3 years ago