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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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Make g the subject p=5gh
balandron [24]
When rearranging or transposing an equation, you always have to try and get the letter you want on its own by doing the opposite of each step on both sides. In this case it is g:

p= 5gh

Because g is being multiplied by 5 and h, you'd want to divide by 5 and h to get g on its own: (division is represented by the slashes / ).

p= 5gh/5h

Now you can cross off 5h completely from the right side of the equation because they cancel out.

p/5h = g

Because you did that, you have to do it on the other side too so that is why it is P/5h on the left.

So g = p divided by 5h.

Hope that helped!!!
7 0
3 years ago
The product of (3 2i) and a complex number is (17 7i) <br> What is the complex number.
lutik1710 [3]

(I'll assume that the blank spaces are PLUS signs ( + ),
as they usually are on Brainly.)

The mystery complex number is  (5 - i) .

     (3 + 2i) x (5 - i)  =  (17 + 7i)

FOIL it out and you'll see it.

7 0
3 years ago
What is the sum of 1.57 and 6.88? 7 tenths, 3 hundredths, and 5 thousandths 8 ones, 4 tenths, and 5 hundredths 5 ones, 4 tenths,
Alekssandra [29.7K]

Answer:

8 ones, 4 tenths, and 5 hundredths

Step-by-step explanation:

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I think the answer is c sorry if I’m wrong
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Julli [10]

Answer:b

Step-by-step explanation:

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