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Romashka [77]
4 years ago
8

Let f ( x ) = ( x + 3 ) ^2

Mathematics
1 answer:
navik [9.2K]4 years ago
7 0

Answer:

  f(x) restricted to x in [-3, ∞) will have inverse function f⁻¹(x) = √x -3

Step-by-step explanation:

The given function is non-decreasing on the interval [-3, ∞), so that is a suitable domain.

The inverse function can be found from ...

  x = f(y) = (y +3)^2

  √x = y +3

  √x -3 = y

So, the inverse function of f(x) on the domain [-3, ∞) is ...

  f⁻¹(x) = √x -3

_____

In the attached graph, the solid red curve is the domain-restricted portion of f(x). The blue curve is the inverse function. The dashed orange line is a reference line to help you see that the inverse function is a reflection of the function across that line.

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What is the length of SA?<br> 1.89 ft<br> 2.43 ft<br> O<br> 3 ft<br> 7 ft
Brums [2.3K]

Incomplete Question, Figure is not there the required figure is attached below.

Answer:

The Correct option is third one 3 ft.

Therefore length of SA is 3 ft.

Step-by-step explanation:

Given:

BS = 10 ft

BT = 9ft

TC = 2.7 ft

TS || CA

To Find:

SA = ?

Solution:

Basic Proportionality Theorem:

Basic Proportionality Theorem States that "If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".

Here, TS || CA        ......Given:

\dfrac{BS}{SA}=\dfrac{BT}{TC} ...Basic Proportionality Theorem

Substituting the values we get

\dfrac{10}{SA}=\dfrac{9}{2.7}\\\\SA=\dfrac{27}{9}=3\\\\\therefore SA =3\ ft

Therefore the length of SA is 3 ft.

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What so the distance between (7,13) and (7,-20)
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