MATHEMATICS MIDDLE SCHOOL

A. Use the composition to prove whether or not the functions are inverses of each other.B. Express the domain of the compositions using interval notation.

Answers

Answer 1

Answer:

Here we need to find fog and gof, and they must be equal to x .

Let's check out fog

fog = f(g(x))

$f((4x+1)/(x))$

Substituting the value of g(x) in f(x) for x, we will get

$(1)/((4x+1)/(x)-4) =(1)/((4x+1-4x)/(x))=x$

Domain

Here the input function is g(x), and the denominator should not be 0. So x should not be zero. Therefore, domain is

$(-\infty,0)U(0, \infty)$

Now let's check gof

gof = g(f(x))

Here we need to insert f(x) in g(x) for x, and on doing that , we will get

$(4((1)/(x-4))+1)/((1)/(x-4)) = (4+x-4)/(1)=x$

Domain

Here the input function is f(x), and denominator should not be zero.

SO domain is

$(- \infty,4)U(4, \infty)$

Since fog = gof =x, so the given function are inverses of each other .

Answer 2

Answer:

Answer:

so basically you do the answer over and over till you get it right cuz thats what my momma told me to do and mommas always right

Step-by-step explanation:

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C) -6(2x-3) >–3x
solve the following inequality ^

Answers

Answer:

9*(-x +2) > 0

Step-by-step explanation:

-6(2x-3)>–3x

-6 * (2*x - 3) > -3*x

-6*2*x -6*(-3) > -3*x

-12*x + 18 > -3*x

-12x + 18 + 3x > 0

-9x + 18 > 0

9*(-x +2) > 0

Explain whether the shapes are similar

Answers

All 3 angles are the same, the sides are just shorter as the object has been made smaller

Simplify the square root of 9/16.

Answers

$\sqrt{(9)/(16)}=(\sqrt9)/(√(16))=(3)/(4)\n\n\n\sqrt9=3\ because\ 3^3=9\n\n√(16)=4\ because\ 4^2=16$

The square root of 9/16 simplifies to 3/4.

To simplify the square root of 9/16,

we can simplify the numerator and denominator separately and then take the square root.

The square root of 9 is 3, and the square root of 16 is 4:

=√(9/16)

= √9 / √16

= 3/4

Therefore, the square root of 9/16 simplifies to 3/4.

Learn more about Square Root here:

brainly.com/question/29286039

#SPJ6

What is the mass of the 2.5 kilogram in mass in grams

Answers

Answer:

2500g

Step-by-step explanation:

In the Metric Decimal System. Each subunit (to the left) is 10 times higher or 1/10 times lower .

1Kg 1hg 1dag 1g 1dcg 1cg 1 mg

1000g 100g 10g 1g 0.1g 0.01g 0.001g

From the scheme above, we have many relations. The one that answers the question is below followed by a rule of three:

1 kg----1000g

2.5kg-----x

x=2500g

1 kg= 1000g

So to go from kilograms to grams, multiply by 1000:
2.5kg*1000= 2500 g

Answer: 2500 g

Please tell me what is 5mi in feet

Answers

To find out what 5 miles in feet would be, you simply have to multiply the amount of feet per mile by 5.

5280 * 5 = 26400

There are 26,400 feet in 5 miles.
Hope that helped! =)

one mile will be converted into 5280 feet so you multiply 5280*5= 26400

Write two multiplication equations using fractions and mixed numbers. Write one equation that will have a product greater than the first factor. Then write another equation that will have a product less than the first factor.

Answers

2 2/5 x 3/7(less) =1 1/35

I only thought of an equation for the less one.

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