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3 years ago

Christian bought 20 shares of stock XYZ at the close price of $8.92. He

Mathematics

1 answer:

prisoha [69]3 years ago

7 0

Answer: 486.60

Step-by-step explanation:

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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

charle [14.2K]

ANSWER

See below

EXPLANATION

Given

$f(x) = \frac{ {x}- 9 }{x + 5}$

and

$g(x) = \frac{ - 5x - 9}{x - 1}$

$(f \circ \: g)(x)= \frac{ (\frac{ - 5x - 9}{x - 1})- 9 }{(\frac{ - 5x - 9}{x - 1} )+ 5}$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9(x - 1)}{x - 1}}{\frac{ - 5x - 9 + 5(x - 1)}{x - 1} }$

Expand:

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9x + 9}{x - 1}}{\frac{ - 5x - 9 + 5x - 5}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9x + 9 - 9}{x - 1}}{\frac{ - 5x + 5x - 5 - 9}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 14x }{x - 1}}{\frac{ -14}{x - 1} }$

Since the denominators are the same, they will cancel out,

$(f \circ \: g)(x)= \frac{ - 14x}{ - 14} = x$

8 0

3 years ago

What is sqrt23 approximated to the nearest tenth 3.6 4.6 4.8 11.5

Dmitrij [34]

5^2 = 25 so i would say its 4.8 Answer

3 0

3 years ago

Read 2 more answers

Write the sentence as an equation, using x as the variable. Then find the solution of the equation from the set of integers bet

Inessa05 [86]

Answer:

The solution of given equation is x = -4

Step-by-step explanation:

We are given the following in the question:

Let x be the variable such that

$x \in (-12,12)$

Relation:

The quotient of a number and 4 is negative 1

We can write the equation as:

$\dfrac{x}{4} = -1$

Solution:

$\dfrac{x}{4} = -1\\\\\Rightarrow x = 4\times -1\\\Rightarrow x = -4$

Thus, the solution of given equation is x = -4

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4 years ago

Is the following shape a right triangle? How do you know?

Gwar [14]

Answer:

D. Yes, two sides are perpendicular, and the side lengths fit the

Pythagorean theorem.

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4 years ago

A tortoise can walk 1/2 a mile in 1/4 of an hour. The hare can run 1 1/2 miles in 1/1 hour

Art [367]

To get the miles of the tortoise just add each of the hours by 2 and to get the miles of the hare just add the hours by 3

Tortoise-Add Hours By 2
Hare-Add Hours By 3

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3 years ago