3 years ago

Triangle ABC has been transformed into triangle A'B'C'. The algebraic formula for this transformation is

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

8 0

Answer:

Step-by-step explanation:

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Determine the domain of the function (fog) (x) where f(x) = 3x-1/x-4 and g(x)=x+1/x

Mrac [35]

Answer:

$(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)$

Step-by-step explanation:

The given functions are $f(x)=\frac{3x-1}{x-4}$ and $g(x)=\frac{x+1}{x}$ .

We now composed the two functions to find:

$(f\circ g)(x)=f(g(x))$

$\implies (f\circ g)(x)=f(\frac{x+1}{x})$

$\implies (f\circ g)(x)=\frac{3(\frac{x+1}{x})+1}{\frac{x+1}{x}-4}$

$\implies (f\circ g)(x)=\frac{4x+3}{1-3x}$

This function is defined if the denominator is not zero.

$1-3x\ne0$

$x\ne\frac{1}{3}$

We write this in interval notation as:

$(-\infty,\frac{1}{3})\cup (\frac{1}{3},\infty)$

We need to be cautious here as x=0 is not in the domain of g(x).

Therefore the domain of $(f\circ g)(x)$ is

$(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)$

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3 years ago

What is the perimeter of a rhombus whose diagonals measure 42cm and 56cm?

Trava [24]

Answer:

676

Step-by-step explanation:

d1×d2/2

42×56/2

1352/2=676

please check it by doing again

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You offer to do the dishes for your family for the next month. You suggest that they can pay you in one of three ways.

Sophie [7]

Answer:

I say number 2

Step-by-step explanation:

0.02 is 2 cents while 0.20 is twenty sense. That would make more sense

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Casey likes to run. She runs an additional 1/4 mile each day. On the last day, she ran 1 1/4 miles. If she ran 1/2 mile her firs

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Three days,
1 1/4 = 5/4
1/2= 2/4
2/4+1/4= 3/4 the first day
5/4-3/4= 2/4
2/4 = 1/4 and 1/4 = two days
the first day+ two days= 3 days

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Which values represent the answer in simplest form?<br> 7/9 divided by 4/9

Aneli [31]

Answer:

math is torture

Step-by-step explanation:

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2 years ago

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