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3 years ago

14

Find the inverse of g(x) = 3x^2 - 5

1 answer:

Lorico [155]3 years ago

4 0

Answer:

x

=

√

y

+

5

3

Explanation:

To find the inverse of a function expressed as

XXX

y

=

an expression in

x

rearrange the expression into the form:

XXX

x

=

an expression in

y

Given

XXX

y

=

3

x

2

−

5

Switch sides and add

5

to both sides

XXX

3

x

2

=

y

+

5

Divide both sides by

3

XXX

x

2

=

y

+

5

3

Take the square root of both sides

XXX

x

=

±

√

y

+

5

3

Since we were asked for an inverse function, I've eliminated the non-primary root (a function can not have two values for a single argument value).

Therefore

XXX

x

=

instead of Y do G

Step-by-step explanation:

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Elis [28]

Answer:

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2 years ago

the population of a country double every 10 years from 1950 to 1980.what was the percentage increase in population during this t

fredd [130]

700% increase.

Step-by-step explanation:

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3 years ago

4 days I have 140 copies of a book, 9 days I only have 50 left. Write an equation where c(t)=my+b where c is number of copies st

alexandr402 [8]

Answer:

$c(t)=-18t+212$ .

Step-by-step explanation:

We have been given that 4 days I have 140 copies of a book, 9 days I only have 50 left. We are asked to write an equation $c(t)=my+b$ , where c is number of copies still on hand and t days being available.

We have two points on line (4,140) and (9,50). Now, we will use these points to find slope as:

$m=\frac{140-50}{4-9}$

$m=\frac{90}{-5}$

$m=-18$

Now, we will use point-slope form of equation $y-y_1=m(x-x_1)$ and substitute $m=-18$ and coordinates of point (9,50) as:

$y-50=-18(x-9)$

$y-50=-18x+162$

$y-50+50=-18x+162+50$

$y=-18x+212$

Therefore, our required equation would be $c(t)=-18t+212$ .

5 0

3 years ago

Agata [3.3K]

Answer:

h(t) = 16t changes 16 units every t. in the interval t=7 to t=2,

if its asking for:

$\int\limits^2_7 {16t} \, dt$

then it's

16(2) - 16(7) = 32 - 112 = -80

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3 years ago

Sam raked 3 bags of leaves in 16 minutes. if he continues to work at the same rate about how long will it take him to rake 5 bag

Solnce55 [7]

3 bags = 16 m
1 bag = 5/1/3 m
5 bags = 26 m 40 seconds

i am a mathematics teacher. if anything to ask please pm me

3 0

3 years ago