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3 years ago

Determine if the two functions f and g are inverses of each other

Mathematics

1 answer:

Margarita [4]3 years ago

5 0

Answer:

Yes.

Step-by-step explanation:

$f(g(x))$

$f(\frac{x-12}{9})$

( I will have to replace all $x$ 's in $9x+12$ with $(\frac{x-12}{9}$ )

$9(\frac{x-12}{9})+12$

$(x-12)+12$

$x-12+12$

$x+(-12+12)$

$x+0$

$x$

So the answer is yes.

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dori lives 1/4 Mile from school if she walks to and from school each day how far does Dori walk during the school week

Arturiano [62]

Answer:

7/2 miles or 3 2/4 miles

Step-by-step explanation:

5 0

2 years ago

NEED HELP FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

storchak [24]

Answer:

A.) y = 0.4x^(2) + 3.4x + 4

Step-by-step explanation:

x = -5

y = -3

5 0

2 years ago

Read 2 more answers

Suppose that an insect population’s density, in thousands per acre, during year n, can be modeled by the recursive formula: a1 =

vlabodo [156]

Answer:

The population alternates between increasing and decreasing

Step-by-step explanation:

The options of the question are

A) The population density decreases each year.

B) The population density increases each year.

C) The population density remains constant.

D) The population alternates between increasing and decreasing

we have

$a_n=2.9(a_n_-_1)-0.2(a_n_-_1)^2$

$a_1=8$

Find the value of $a_2$

For n=2

$a_2=2.9(a_1)-0.2(a_1)^2$

$a_2=2.9(8)-0.2(8)^2=10.4$

Find the value of $a_3$

For n=3

$a_3=2.9(a_2)-0.2(a_2)^2$

$a_3=2.9(10.4)-0.2(10.4)^2=8.528$

For n=4

$a_4=2.9(a_3)-0.2(a_3)^2$

$a_4=2.9(8.528)-0.2(8.528)^2=10.1858$

For n=5

$a_5=2.9(a_4)-0.2(a_4)^2$

$a_5=2.9(10.1858)-0.2(10.1858)^2=8.7887$

therefore

The population alternates between increasing and decreasing

7 0

2 years ago

Read 2 more answers

A tree farmer Planet 3 types of trees on 22 acres of land .he planted 48 trees per acre.what was the total number of trees the f

Alja [10]

Answer:

The total number of trees the farmer planted = 1056 trees

Step-by-step explanation:

It is given that,

A tree farmer Planet 3 types of trees on 22 acres of land and,

he planted 48 trees per acre

To find total number of plants

There are 22 acres of land.

In one acre he planted 48 trees.

Therefore total number of plants in 22 acers = 22 * 48 = 1056 trees

5 0

2 years ago

Complete the square than convert to vertex form. y=2x^2+8x-9

8_murik_8 [283]

$y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0$

There are 2 roots so the only way to complete the square is,

$y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17$

Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.

then complete the square and multiply 2 inside the brackets.

subtraction as you already get the vertex form and know how to complete the square.

Vertex Form: $y=2(x+2)^2-17$

3 0

2 years ago