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noname [10]
2 years ago
14

Find the inverse function of

Mathematics
1 answer:
shtirl [24]2 years ago
3 0

Answer:

f(x) = 20x - 4 \\ substitute \: y \: for \: f(x) \\ y = 20x - 4 \\ interchange \: x \: and \: y \\ x = 20y - 4 \\ swap \: the \: sides \: of \: the \: equation \\ 20y - 4 = x \\ move \: the \: constant \: to \: the \: right \: hand \\ 20y = x + 4  \\ divide \: both \: sides \: by \: 20 \\ y =  \frac{1}{20} x +  \frac{1}{5}  \\ substitute \: f {}^{ - 1} (x) \: for \: y \\ f {}^{ - 1} (x) =  \frac{1}{20} x +  \frac{1}{5}

The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.

Thus, domain of f(x): x∈R = range of f¯¹(x)

and range of f(x): x∈R =domain of f¯¹(x)

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A children's slide has a length of 5.8m. The vertical ladder is 2.6m above the groubd. Find the angle the slide makes with the g
Elodia [21]

<u>Answer</u>


26.6°


<u>Explanation</u>

You are required to use the trigonometric ratio, sine, to find that angle.

SinФ = opposite/hypotenuse


sin Θ = 2.6/5.8

= 0.4483


The angle Θ = Anti-sine(0.4483)

= 26.633°


The angle the slide makes with the ground, correct to one decimal place is 26.6°

8 0
3 years ago
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Can someone help me asap!! am timed right now​
Aneli [31]

Answer:

Step-by-step explanation:

Find the value of the left hand side (LHS)

LHS = 1/4 // 5/6

LHS = 1/4 * 6/5

LHS = 6/20

LHS = 3/10

Now what will make 3/10 on the right?

B:  1/4  * 6/5 = 6/20 = 3/10

a = 4

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7 0
3 years ago
What will be the length of the battery?
kobusy [5.1K]

Answer:

:) 17

Step-by-step explanation:

68 = 4 x L

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the length is 17

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2 years ago
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If 5 years ago nina was twice as old as sam, how soon from now will she be 1.5 times as old as sam? if x is sam's age 5 years ag
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I hope this helps you

7 0
3 years ago
Solve the rational equation 4/x=3x+2/x^2, and check for extraneous solutions.
Aleks [24]

Answer:

x = 2 is a solution

x = 0 is an extraneous solution

(Option 2)

Step-by-step explanation:

4/x = (3x + 2)/x²

4x² = 3x² + 2x

x² - 2x = 0

x(x - 2) = 0

x = 0, x = 2

Verification:

4/x = (3x + 2)/x²

At x = 2

4/2 = [3(2) + 2]/2²

2 = 8/4

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At x = 0

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3 years ago
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