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2 years ago

What is the inverse of the function

Mathematics

2 answers:

puteri [66]2 years ago

8 0

The inverse of it is the inverse of that & thing u know

Bas_tet [7]2 years ago

4 0

Answer:

$g^{-1}(x)=-\frac{3}{2}(x+5)$

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stealth61 [152]

$\large\underline{\sf{Solution-}}$

We have to evaluate the given expression.

$\rm = \sqrt{ \dfrac{1 - \sin(x) }{1 + \sin(x) } }$

If we multiple both numerator and denominator by 1 - sin(x), then the value remains same. Let's do that.

$\rm = \sqrt{ \dfrac{[1 - \sin(x)][1 - \sin(x) ]}{[1 + \sin(x)][1 - \sin(x) ]} }$

$\rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{1- \sin^{2} (x) } }$

We know that:

$\rm \longmapsto { \sin}^{2}(x) + \cos^{2}(x) = 1$

$\rm \longmapsto \cos^{2}(x) = 1 - { \sin}^{2}(x)$

Therefore, the expression becomes:

$\rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{\cos^{2} (x)}}$

$\rm = \dfrac{1 - \sin(x)}{\cos(x)}$

$\rm = \dfrac{1}{\cos(x)} - \dfrac{ \sin(x) }{ \cos(x) }$

$\rm = \sec(x) - \tan(x)$

7 0

2 years ago

Read 2 more answers

A simple random sample of 5 months of sales data provided the following information: Month: 1 2 3 4 5 Units Sold: 94 105 85 94 9

11111nata11111 [884]

Answer:

a) x = 94 units/month

b) s = 51.50 units/month

Step-by-step explanation:

The adequate point estimation of the population mean and standard deviation are the sample mean and sample standard deviation.

a) Point estimation of the population (sample mean)

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(94+105+85+94+92)\\\\\\M=\dfrac{470}{5}\\\\\\M=94\\\\\\$

b) Point estimation of the population standard deviation (sample standard deviation)

$s=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2\\\\\\s=\dfrac{1}{4}((94-94)^2+(105-94)^2+(85-94)^2+(94-94)^2+(92-94)^2)\\\\\\s=\dfrac{206}{4}\\\\\\s=51.50\\\\\\$

4 0

3 years ago

April recieved $1,800 from her grandmother as a birthday gift. She decided to put the money in an account to save for college. I

Katarina [22]

A = 1800(1 + (0.09 × 5)) = 2610
A = $2,610.00

6 0

2 years ago

What’s B I have A squared and C square

Makovka662 [10]

Step-by-step explanation:

5^2 + b^2 = 9^2

25 + b^2 = 81

b^2 = 56

square root both sides and b = 7.48 cm

8 0

3 years ago

Read 2 more answers

GIVING 50 POINTS FOR THE FIRST 2 PEOPLE

pochemuha

Answer:Thanks

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers