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sergey [27]
3 years ago
15

What is the inverse of the function f(x) = 2x + 1?

Mathematics
1 answer:
Alexandra [31]3 years ago
6 0

Answer:

f^{-1}(x) = \frac{x-1}{2}

Step-by-step explanation:

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

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2 ( divide both sides by 2 )

\frac{y-1}{2} = x

Change y back into terms of x and let x = f^{-1} (x), thus

f^{-1}(x ) = \frac{x-1}{2}

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A used bookstore will trade 2 of its books for 3 of yours. If Val brings in 18 books to trade, How many books can she get from t
dolphi86 [110]

Answer:

She will get 12 books from the store

Step-by-step explanation:

We can use ratio's to solve

2 books out      x books out

------------------- =-----------------------------

3 books in          18 books in from Val


Using cross products

2 * 18 = 3 *x

Divide each side by 3

2*18 /3 = 3x/3

2*6 = x

12 =x

She will get 12 books from the store

8 0
3 years ago
Read 2 more answers
Which notation is expressed in interval notation x> -2?​
vfiekz [6]

Answer:

( - 2 \:  \infty )

5 0
3 years ago
For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?
Butoxors [25]

In the balanced reaction

2 Fe + O₂   →   2 FeO

2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.

Look up the molar mass of Fe and O:

• Fe = 55.845 g/mol

• O = 15.999 g/mol

Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is

(42.4 mol) × (71.835 g/mol) ≈ 3050 g

8 0
3 years ago
K+3=-9 answers key please
vlabodo [156]
K+3=-9
k=-12 is the answer
7 0
4 years ago
Read 2 more answers
Find the surface area of the trapezoidal
Fofino [41]

Answer:

916 in.

Step-by-step explanation:

Step by Step.

5*10 = 50, and 50*2 = 100

10*4 = 40, and 40 * 2 = 80

(4*6)/2 = 12, and 12 * 2 = 24

10*10 = 100, and 100 * 2 = 200

16*16 = 256, and 256 * 2 = 512

Adding this together, we get: 916 inches.

6 0
3 years ago
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