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LenaWriter [7]
3 years ago
14

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

Mathematics
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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60 pts! <br><br>2x + 34 = 4(x + 5)<br><br>solve the equation for x. ​
erma4kov [3.2K]

Answer:

x=7

Step-by-step explanation:

expand 4(x+5): 4x+20

2x+34=4x+20

subtract 34 from both sides

2x+34-34=4x+20-34

2x=4x-14

subtract 4x from both sides

2x-4x=4x-14-4x

-2x=-14

divide both sides by -2

-2x/-2=-14/-2

x=7

7 0
2 years ago
Can someone do this fast ? I need it for tomorrow
gregori [183]

Answer:

Step-by-step explanation:

hg(x) means you multiply h(x) times g(x) and then we will set it equal to 3x^2+x-1.

hg(x) = x^2(x+2) which simplifies to

x^3+2x^2. Now set that equal to 3x^2+x-1:

x^3+2x^2=3x^2+x-1 and get everything on the same side and factor:

x^3-x^2-x+1=0. Factor by grouping:

(x^3-x^2)-(x+1)=0 and factor out what's common in each set of ( ):

x^2(x-1)-1(x-1)=0 which factors out to

(x^2-1)(x-1)=0. But x^2-1 factors somoe to:

(x + 1)(x - 1)(x - 1) = 0 So the solutions for this are

x = -1, 1

7 0
2 years ago
30 POINTS! PLEASE HELP
Kryger [21]

Answer:

y = -4x+4

Step-by-step explanation:

Pick two points on the line

(0,4) and (1,0)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (0-4)/(1-0)

   = -4/1 =-4

We know the y intercept is 4

The slope intercept form of the equation is y = mx+b  where m is the slope and b is the y intercept

y = -4x+4

8 0
3 years ago
Read 2 more answers
A number cube has sides numbered 1 through 6. The probability of rolling a 2 is 16
ser-zykov [4K]
Hello there.

<span>A number cube has sides numbered 1 through 6. The probability of rolling a 2 is 16
what is the probability of not rolling a 2?

Answer: I'm guessing that by 16 you meant 1/6. Therefore you do 6/6 - 1/6 = 5/6,
Therefore the answer is 5/6.

Hope This Helps You!
Good Luck Studying ^-^</span>
3 0
3 years ago
Read 2 more answers
How to I put x&gt;-2.5 on a number line?
AysviL [449]

Answer:

Open circle. Points right

Step-by-step explanation:

The reason for it is because this symbol > represents greater than when it comes to inequalities. When it is an open circle that means that you are not including the number. So that also means that the -2.5 is not included to the inequality equation but it can be any other number other than that number.

4 0
2 years ago
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