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3 years ago

Let f(x) = 2x +2. solve f -1 (x) when x = 4

Mathematics

1 answer:

Dafna1 [17]3 years ago

8 0

If y = f(x), then f⁻¹(y) = x.

We have f(x) = 2x + 2, so that f(x) = 4 when

2x + 2 = 4

2x = 2

x = 1

So we know f(1) = 4.

Then this means 1 = f⁻¹(4).

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Solve 4 cos2x-3 = 0 for all real values of x.

vichka [17]

4 cos² x - 3 = 0

4 cos² x = 3

cos² x = 3/4

cos x = ±(√3)/2

Fixing the squared cosine doesn't discriminate among quadrants. There's one in every quadrant

cos x = ± cos(π/6)

Let's do plus first. In general, cos x = cos a has solutions x = ±a + 2πk integer k

cos x = cos(π/6)

x = ±π/6 + 2πk

Minus next.

cos x = -cos(π/6)

cos x = cos(π - π/6)

cos x = cos(5π/6)

x = ±5π/6 + 2πk

We'll write all our solutions as

x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k

3 0

3 years ago

49 PTS

ANTONII [103]

so i am sure you know that 1 hour is sixty minutes

so this is how it woulds

10/1 * 60/1 = 600 minutes

so that means that 10 hours would be equal to 600 minutes

then add on the 39 minutes

639

BUT WAIT there are the seconds

24/1 * 1/60 = 0.4

so 24 seconds is 0.4 (40%) of a minute

so it would take 639.4 minutes for saturn to make a full rotation

i hope this helped and please vote me for brainliest! have a nice day!

8 0

3 years ago

Read 2 more answers

Hello how are you today. Question 2(×+-5)+×=×+(-6)

andre [41]

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

2(x + -5) + x = x + (-6)

Step 2: Solve for x

[Distributive Property] Distribute 2: 2x - 10 + x = x - 6
[Addition] Combine like terms (x): 3x - 10 = x - 6
[Subtraction Property of Equality] Subtract x on both sides: 2x - 10 = -6
[Addition Property of Equality] Add 10 on both sides: 2x = 4
[Division Property of Equality] Divide 2 on both sides: x = 2

6 0

3 years ago

Read 2 more answers

How Do I solve this I am quite confused

Kazeer [188]

Answer:

$11,714

Step-by-step explanation:

C(x) = 0.7x² - 462x + 87,944

this is a quadratic equation that opens up

the vertex will be the minimum

From the quadratic formula the x coordinate of the vertex is

x = -b/2a

x = 462/(2 * 0.7)

x = 330

Plug in

c(330) = 0.7(330²) - 462(330) + 87,944

c(330) = 11,714

$11,714

5 0

3 years ago

A store has 263 board games. Sit has 100 fewer puzzles than board games. The store has 10 more action figures than puzzles. Writ

Yuri [45]

so is it has 100 puzzles less than board games and you have 263 board games just subtract 263-100 which is 163. if it has 10 more action figures than puzzles and you have 163 puzzles you would add 10 to 163 which would give you 173 action figures.

163 puzzles and 173 action figures is the answer

4 0

3 years ago

Read 2 more answers