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2 years ago

14

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

1 answer:

Lorico [155]2 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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2 years ago

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Y = –3x 6 y = 9 what is the solution to the system of equations? (–21, 9) (9, –21) (–1, 9) (9, –1)

Romashka [77]

we have

<u>The system of equations</u>

$y=-3x+6$ -------> equation $1$

$y=9$ -------> equation $2$

Substitute equation $2$ in equation $1$

$9=-3x+6$

subtract $6$ both sides

$9-6=-3x+6-6$

$3=-3x$

Divide by $-3$ both sides

$x=-1$

the solution is the point $(-1,9)$

therefore

the answer is

the solution to the system of equations is the point $(-1,9)$

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