MATHEMATICS HIGH SCHOOL

Given f(x)=-3x+8, find f^-1(x) then state wheter F^-1 (x) is a function

Answers

Answer 1

Answer:

Answer:

f⁻¹(x) = (8-x)/3 and it is a Function.

Step-by-step explanation:

Given is f(x) = -3x+8

Suppose y = f(x), then y = -3x + 8

Solving for x:-

-3x + 8 = y

-3x = y - 8

3x = 8 - y

x = (8-y)/3

Now interchanging x and y:-

y = (8-x)/3

Here, y is inverse function i.e. f⁻¹(x)

Hence, f⁻¹(x) = (8-x)/3

Since f⁻¹(x) is a linear expression of x, therefore it is a function.

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Over twenty years, it was found that the number of doctors of medicine, MD (in thousands), in the United States can be approximated by MD=(28,390+693t)/(85-t) where t=0 represents 1980. The number of doctors of osteopathy, DO (in thousands), can be approximated by DO=(776-12t)/(65-2t) .Write an expression for the total number I of doctors of medicine (MD) and doctors of osteopathy (DO). Simplify the result. How many MDs did the United States have in 2010? How many MDs did the United States have in 2010?

Marty's cat weighs 10.4 pounds. this is 24.4 pounds less than the weight of marty's dog. how much does marty's dog weigh?

Answers

I hope this helps you

dogs-24,4=10,4

dog=34,8

Solve for b and c

2x^3-8x^2-24x=2x(ax+b)(cx+d)

a=1 and d=-6

Answers

Answer:

b = 2, c = 1

Step-by-step explanation:

2x³ - 8x² - 24x == 2x(ax + b)(cx + d)

2x³ - 8x² - 24x = 2x(x² - 4x - 12)

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

Answer:

Step-by-step explanation:

b=2, c=1

Antony has a net spendable income of $1,950 per month. What is the maximum recommended amount of money that he should budget for food for a month? Round to the nearest dollar

Answers

$293
$332
$234
$390.........................

What is the least common denominator (LCD) of 9/10 and 5/8?

Answers

Answer:

the least common denominator is 40

Step-by-step explanation:

brainliest pls

Answer:

Step-by-step explanation:

because the the LCD of them is 40

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Find x: 3x − 14 + 6 − 4 − 2x = 12

Answers

The required value of the x in the given algebraic expression is 10.

To find the value of x in the given equation, you need to solve for x. Let's simplify the equation step by step:

3x - 14 + 6 - 4 - 2x = 12

Combine like terms:

(3x - 2x) + (6 - 4) = 12

x + 2 = 12

Now, isolate x by subtracting 2 from both sides:

x = 12 - 2

x = 10

So, the value of x is 10.

Learn more about expression here:

brainly.com/question/28914838

#SPJ3

Answer:

x= 24

Step-by-step explanation:

Solve for x by simplifying both sides of the equation and then isolating the variable.

Hope this helps.

Which number is a factor of 100?
08

Answers

It’s only one number listed

The answer should be 5,10,2
Hope this helps

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