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mezya [45]
3 years ago
7

What is the inverse function of x squared + 4

Mathematics
1 answer:
Kobotan [32]3 years ago
5 0

y = x^2 + 4

x = y^2 +4

x - 4 = y^2

√x-4 = y

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denis23 [38]
£6.72 not sure but think that’s right, because you divide by ten for ten percent and multiply it by two (20%) then add it to £5.60
7 0
4 years ago
Determine whether the improper integral converges or diverges, and find the value of each that converges.
natita [175]

Answer:

\int_{-\infty}^{-1} x^{-\frac{8}{3}} dx = -\frac{3}{5} [-1 - \infty]

So then we see that the integral not converges since the limit \lim_{x\to -\infty} \frac{1}{x^{5/3}} is not defined on this case.

So then this integral diverges.

Step-by-step explanation:

For this case we need to solve the following integral:

\int_{-\infty}^{-1} x^{-\frac{8}{3}} dx

So lets solve the integral in order to see if diverges or converges:

= \frac{x^{-\frac{8}{3} +1}}{-\frac{8}{3}+1}

= \frac{x^{-\frac{5}{3}}}{-\frac{5}{3}} = -\frac{3}{5 x^{\frac{5}{3}}} \Big|_{-\infty}^{-1}

And on this case we can evaluate like this:

\int_{-\infty}^{-1} x^{-\frac{8}{3}} dx = -\frac{3}{5} [\frac{1}{(-1)^{5/3}} - \lim_{x\to -\infty} \frac{1}{x^{5/3}}]

\int_{-\infty}^{-1} x^{-\frac{8}{3}} dx = -\frac{3}{5} [-1 - \infty]

So then we see that the integral not converges since the limit \lim_{x\to -\infty} \frac{1}{x^{5/3}} is not defined on this case.

This integral diverges.

8 0
4 years ago
Find the inverse of y=9x^2-4
luda_lava [24]

Answer:

y

=

9

x

2

−

4

y

=

9

x

2

-

4

Interchange the variables.

x

=

9

y

2

−

4

x

=

9

y

2

-

4

Solve for

y

y

.

Tap for more steps...

y

=

√

x

+

4

3

y

=

x

+

4

3

y

=

−

√

x

+

4

3

y

=

-

x

+

4

3

Solve for

y

y

and replace with

f

−

1

(

x

)

f

-

1

(

x

)

.

Tap for more steps...

f

−

1

(

x

)

=

√

x

+

4

3

,

−

√

x

+

4

3

f

-

1

(

x

)

=

x

+

4

3

,

-

x

+

4

3

Step-by-step explanation:

4 0
3 years ago
A rectangle with length of 5 cm and width of 4 cm is drawn to scale of 1 cm to 15 m find the actual area in metre square
LiRa [457]

Answer:

Step-by-step explanation:

Given Length = 5

Given Width = 4

A = Length * Width

= 5 * 4

= 20 * 15

= 300m^2

5 0
3 years ago
CAN SOMEONE PLEASE HELP MEE???
8090 [49]

Answer:

D

Step-by-step explanation:

because the line passes through -4,-4 and so on

4 0
3 years ago
Read 2 more answers
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