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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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What is the maximum number of possible extreme values for the function,<br> f(x) = х2 -7x – 6?

timama [110]

Answer:

Only one extreme value of f(x) is possible.

Step-by-step explanation:

We are given the quadratic function of independent variable x which is f(x) = x² - 7x - 6 ......(1)

Now. the condition for extreme values of f(x) is $\frac{df(x)}{dx} =0$

Hence, differentiating both sides of equation (1) with respect to x, we get

$\frac{df(x)}{dx} = 2x -7$ = 0

⇒ x = 3.5.

So there is only one value of x for which f(x) has extreme value which is x = 3.5.

Therefore, only one extreme value of the given function is possible. (Answer)

3 0

3 years ago

Ok so i need the work and answer for this problem is due asap click the picture.

IRISSAK [1]

Answer:

C. 36

Step-by-step explanation:

There are 217 students and 35 adults.

217 + 35 = 252 people

There are 7 buses for 252 people

252 people ÷ 7 buses = 36 people per bus

7 0

2 years ago

Read 2 more answers

Given the line has to go through (0, 3) and is PARALLEL to y= -4x+6. Which is the correct equation of the line

ivanzaharov [21]

Answer:

y=-4x+3

Step-by-step explanation:

The slopes of 2 parallel lines will always be the same, so we plug in the ordered pair to find the y intercept

<u>Hope this helps :-)</u>

8 0

2 years ago

Given the recursive formula:<br> a1=3<br> An=2(an-1+1)<br> Find a2 a3 a4

fenix001 [56]

Answer:

$a_2 = 8$

$a_3 = 18$

$a_4 = 38$

Step-by-step explanation:

We are given the following recursive formula:

$a_n = 2(a_{n-1}+1)$

And consider $a_1 = 3$

a2

$a_2 = 2(a_1 + 1) = 2(3 + 1) = 8$

a3

$a_3 = 2(a_2 + 1) = 2(8 + 1) = 18$

a4

$a_4 = 2(a_3 + 1) = 2(18 + 1) = 38$

6 0

2 years ago

Solve pls brainliest

Sophie [7]

First is 3 second is 2.

3 0

2 years ago