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gulaghasi [49]
3 years ago
10

Find the inverse of f(x) = 2x + 3

Mathematics
1 answer:
liq [111]3 years ago
7 0
Answer:

<span><span><span>f<span>−1</span></span><span>(x)</span></span>=<span><span>x−3</span>2</span></span>

Explanation:

Follow the steps:

<span><span>f<span>(x)</span></span>=2x+3</span>

1- replace <span><span>f<span>(x)</span></span> with y →y=2x+3</span>

2- simply switch <span>x and</span> so the equation looks like <span>x=2y+3</span>

3- use algebra to solve<span> for y</span>. (isolate y)
<span>x=2y+3</span>

<span>x−3=2y</span>

<span><span><span>x−3</span>2</span>=y</span>

This is the inverse function and is written as

<span><span><span>f<span>−1</span></span><span>(x)</span></span>=<span><span><span>x−3</span>2</span></span></span>

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HOPE THIS HELPS. HAVE A NICE DAY. YOU ARE AMAZING :)

8 0
3 years ago
Problem 2
Sever21 [200]

Answer:

4.23 x 10 to the 4, 2 x 10 to the 3, 9.2 x 10 to the 6, 4 x 10 to the 3, 8 x 10 to the 7, and 3.2 x 10 to the 10.

Step-by-step explanation:

I will explain in the comments to this response

5 0
3 years ago
For circle H, JN = x, NK = 2, LN = 3, and NM = 6. Solve for x.
Advocard [28]

Answer:

The value of x is 9 ⇒ C

Step-by-step explanation:

In a circle, if two chords intersected at a point inside it there are four segments created, two in each cord, the products of the lengths of the line segments on each chord are equal.

<em>Let us use this rule to solve the question</em>

In circle H

∵ Jk and LM are chords intersected at point N inside the circle

∴ The created segments are JN, Nk, and LN, NM

→ By using the rule above

∴ JN × NK = LN × NM

∵ JN = x and NK = 2

∵ LN = 3 and NM = 6

→ Substitute these values in the equation above

∴ x × 2 = 3 × 6

∴ 2x = 18

→ Divide both sides by 2 to find x

∴ \frac{2x}{2}=\frac{18}{2}

∴ x = 9

∴ The value of x is 9

8 0
3 years ago
PRESS ON THE PHOTO!! ONLY NUMBER 10 PLEASE
marta [7]

Answer:

B: T = ½R

Step-by-step explanation:

From the given graph, we see the following;

When T = 2, R = 4

When T = 3, R = 6

When T = 4, R = 8

When T = 5, R = 10

Looking at those values, we can see a pattern where R is always equal to 2T.

Or T = ½R

Thus, option B is the answer.

8 0
3 years ago
What is the circumference of the circle shown below, given that the length of
Tresset [83]

Answer:

A

Step-by-step explanation:

The following ratio is true for any circle

\frac{arc}{C} = \frac{centralangle}{360} ← C is circumference

\frac{4}{C} = \frac{30}{360} ( cross- multiply )

30C = 1440 ( divide both sides by 30 )

C = 48 → A

5 0
4 years ago
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