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4 years ago

Let f(x)=√4x and g(x)=x+6, whats the smallest number that is the domain of f^o g?

1 answer:

5 0

F(x) = √(4x)
g(x) = x + 6

(f ο g)(x) = f(g(x))
(f ο g)(x) = √(4(x + 6))
(f ο g)(x) = 2√(x + 6)

The smallest number that is the domain of (f ο g)(x) is -6.

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I will give you brainliest . Help

kirill [66]

Answer:

x = 8.64

x = - 7.64

Both to 2 d.p

Step-by-step explanation:

Firstly, - 8 both side - cancels the +8 & get the surd to equal x - 8

Then, square root both side, to get:

x-2= x^2 - 64

+ 2 both side

x = x^2 - 66

-x

0= x^2 - 66 - x

x^2 - x - 66 = 0

general equation for quadratic is ax^2 + bx + c

Now, we can find the value of a, b, c using x^2 - x - 66 = 0

a=1

b= - 1

c= - 66

Now use quadratic formula

x = -b±√(b²-4ac))/(2a

= --1 + √ - 1 x - 1 - 4x1x-66 / 2x1

= 8.639.....

Now repeat with - b - & not - b +

x = -b±√(b²-4ac))/(2a

= --1 - √ - 1 x - 1 - 4x1x-66 / 2x1

= - 7.639.......

6 0

3 years ago

Kam had bought 10 packets of chocolates where one packet contains 15 small packs. He wants to share equally among his four child

Arturiano [62]

2 small packs left
148 divided by 4, 2 left

5 0

3 years ago

Find the number of positive integers less than 100,000 whose digits are among 1, 2, 3, and 4. Hint consider the

Verdich [7]

Answer:

1364 is the number of possibilities for positive integers less than 1,00,000.

Step-by-step explanation:

1. 5 digit numbers:

We have 5 places here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 5 digit numbers:

$4 \times 4 \times 4 \times 4 \times 4\\ \Rightarrow 1024$

2. 4 digit numbers:

We have 4 places here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 4 digit numbers:

$4 \times 4 \times 4 \times 4 \\ \Rightarrow 256$

3. 3 digit numbers:

We have 3 places here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 3 digit numbers:

$4 \times 4 \times 4 \\ \Rightarrow 64$

4. 2 digit numbers:

We have 2 places here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 2 digit numbers:

$4 \times 4 \\ \Rightarrow 16$

5. 1 digit numbers:

We have 1 place here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 1 digit numbers:

$4$

We can add all the above possibilities to find the total.

So, number of positive integers less than 100,000 whose digits are among 1, 2, 3, and 4 = 1024 + 256 + 64 + 16 + 4 = 1364

3 0

3 years ago

One vegetable warehouse had 210 tons of potatoes, another one has 180 tons. 90 tons of potatoes were delivered to the first and

amid [387]

Answer:

6days

Step-by-step explanation

Let's make an equation from this expression.

From the number of potatoes at the first warehouse after x days is:

y = 210 + 90x .............. 1

From the number of potatoes at the second warehouse after x days is:

y = 180 + 120x .............. 2

First warehouse having 1.2times

y = ( 210 + 90x ) × 1.2

y = 252 +108x ................... 3

Now, equate 2 and 3

252 + 108x = 180 + 120x

252 - 180 = 120x - 108x

72 = 12x

x = 72/12

x = 6

Now, substitute 6 into equation 1 and 2

From 1 , y = 210 + 90x

y = 210 + 90 ×6

y = 210 + 540

y = 750

From equation 2

y = 180 + 120x

y = 180 + 120×6

y = 180 + 720

y = 900

Recall that equation 1 was to be 1.2times

From the answer in equation 1

y =750

y = 750 × 1.2

y = 900

Hence, the answer is correct.

7 0

3 years ago

Read 2 more answers

Historically, Australia has 300 indigenous languages. Only 90 are still spoken today. What percent have gone extinct?

shtirl [24]

Answer:

70%

Step-by-step explanation:

well first you have to take put 90 over 300, times 100

90 100 = 30%

300 × 1

That gives you the percentage that is spoken today.

Then you have to take away that answer from 100%

100%

- 30%

70 %

5 0

3 years ago