MATHEMATICS HIGH SCHOOL

It's not a really a question but how to solve these types of questionsLet f(x) = 9x − 2 and g(x) = −x + 3. Find f(g(x)).

Let f(x) = 2x + 2. Solve f−1(x) when x = 4.

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)).

Let f(x) = x2 − 8x + 5. Find f(−1).

Answers

Answer 1
Answer:

Answer:

Part 1) f(x) = 9x- 2  and g(x) = -x + 3

Find f(g(x)).

f(x) = 9x- 2

Substitute value of g(x) in place of x

f(g(x)) = 9(-x+3)- 2

f(g(x)) = -9x+27- 2

f(g(x)) = -9x+25

So, f(g(x)) = -9x+25

Part 2) f(x) = 2x + 2

y = 2x + 2

Replace y with x and x with y

x = 2y + 2

Find y

(x-2)/(2) = y

So, f^(-1)(x)=(x-2)/(2)

Substitute x = 4

f^(-1)(4)=(4-2)/(2)

f^(-1)(4)=1

Part 3) f(x) = x + 8 and g(x) = x^2- 6x-7

f(x) = x + 8

Substitute value of g(x) in place of x

f(g(x)) =x^2- 6x-7 + 8

f(g(x)) =x^2- 6x+1

Substitute x = 2

f(g(x)) =2^2- 6(2)+1

f(g(x)) =4- 12+1

f(g(x)) =-7

Part 4) f(x) = x^2-8x + 5

Substitute x = -1

f(-1) = (-1)^2-8(-1) + 5

f(-1) =14
Answer 2
Answer: 1. 9(-x+3) - 2
3.[ (2)2 - 6(2) - 7] + 8
4.(-1)2 - 8(-1) + 5

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How long does it take to double a $1,000 investment that pays 6.5% annual interest, compounded monthly?Which equation can you use to solve this problem?
To the nearest year, it will take about ___
years to double the original investment.

Answers

To the nearest year, it will take about 10.7 years to double the original investment.

How to solbve for the period it would take

In this case, the principal P is $1,000, the interest rate r is 6.5% or 0.065 (in decimal form), the number of times compounded per year n is 12 (compounded monthly), and we want to find the time t when the investment doubles, so A is $2,000.

2000 = 1000(1 + 0.065/12)^(12t)

2 = (1 + 0.065/12)^(12t)

ln(2) = 12t * ln(1 + 0.065/12)

t = ln(2) / (12 * ln(1 + 0.065/12))

t ≈ 10.7

Read more on compounded monthly here brainly.com/question/31242519

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Answer: edgen

B 2=(1+0.065/12)^12t

Step-by-step explanation:

1. In a certain county, the number of Charter Schools is eleven less than twice the number of Alternative Schools. There are 35 Charter Schools in the county. Which of the following equations would you use to find the number of Alternative Schools, a, in the county? 


Answers

The first choice ... 2a - 11 = 35 ... will lead you to the number of
Alternative Schools 'a' in the county.

Which is a factor of x^2 + 8x – 48?(x – 6)

(x + 4)

(x – 16)

(x + 12)

Answers

x^2 + 8x - 48 =\n\nx^2 -4x + 12x - 48=\n\nx(x - 4)+12(x-4)=\n\n(x-4)(x+12)

Your answer is D. (x + 2)

Answer:

D

Step-by-step explanation:

A sequence is defined by the recursive function f(n + 1) = f(n) – 2.If f(1) = 10, what is f(3)?

Answers

I hope this helps you

Answer:

f (3) = 6

Step-by-step explanation:

Simplify the expression (3+i)-(2-2i)

Answers

(3+i)-(2-2i)
Combine like terms
Final Answer: 1+3i
After using the FOIL method/ distributive property, we get a siimpler expression of 1+3i. Hope it helped. :)

The state of Colorado is shaped like a rectangle with an approximate width of 280 mi and length of 380 mi. What is the population density of Colorado in people per square mile if the population is 5,116,800?

Answers

The population density of Colorado is 48.09 people per mile²

Population density

Population density is the concentration of individuals within a specific area. It is given by:

Population density = number of people / land area

Land area = length  * width = 280 * 380 = 106400 mile²

Population density = 5,116,800 / 106400 = 48.09 people per mile²

The population density of Colorado is 48.09 people per mile²

Find out more in Population density at: brainly.com/question/13902749

Answer:


Step-by-step explanation:

160miles • 330miles= 52,800square miles

 

Now it wants the population density in people per square miles, so you need to divide the population by the number of square miles.  

 

4779736/52800=90.5 which is about 91people per square mile.  
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