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3 years ago

Determine the inverse function of f(x)=

{4x-1} " alt=" \sqrt{4x-1} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

gladu [14]3 years ago

7 0

$f(x)=\sqrt{4x-1}\\
y=\sqrt{4x-1}\\
y^2=4x-1\\
4x=y^2+1\\
x=\dfrac{y^2+1}{4}\\
f^{-1}(x)=\dfrac{x^2+1}{4}\\$

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Can anybody help me please

GREYUIT [131]

Question 7: Option 1: x = 33.5°

Question 8: Option 3: x = 14.0°

Step-by-step explanation:

Question 7:

In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle

So,

Perpendicular = P = 32

Hypotenuse = H = 58

So,

$sin\ x = \frac{P}{H}\\sin\ x = \frac{32}{58}\\sin\ x = 0.5517\\x = sin^{-1} ( 0.5517)\\x =33.48$

Rounding off to nearest tenth

x = 33.5°

Question 8:

In the given figure, the value of Base and Perpendicular is given, we will use tangent trigonometric ratio to find the value of x

So,

Perpendicular = P = 5

Base = B = 20

So,

$tan\ x = \frac{P}{B}\\tan\ x = \frac{5}{20}\\tan\ x = 0.25\\x = tan^{-1} (0.25)\\x = 14.036$

Rounding off to nearest tenth

x = 14.0°

Keywords: Right-angled triangle, trigonometric ratios

Learn more about trigonometric ratios at:

#LearnwithBrainly

8 0

3 years ago

Francisco needed to get his computer fixed. He took it to the repair

grin007 [14]

Answer:

$95 per hour

Step-by-step explanation:

The total of charges is the sum of the cost of labor and the cost of parts. The cost of labor is the product of hours (5) and the cost per hour (x). Then the equation for total cost is ...

total cost = parts cost + hours cost

651 = 176 + 5x

475 = 5x . . . . . . . subtract 176

95 = x . . . . . . . . . divide by 5

The cost of labor per hour is $95.

6 0

3 years ago

Kabul’s bookshop marks up all books by 40 percent of their cost. The overhead rate is 16 percent of the selling price. What is t

morpeh [17]

Answer:

The net profit rate on the book is 5.41

Step-by-step explanation: