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Artyom0805 [142]

2 years ago

9

Use the order of operations to find the value of the expression.

1 answer:

Artyom0805 [142]2 years ago

8 0

Answer: D 44

Step-by-step explanation:

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PLEASE HELP ASAP <br>are f(x)=4/x-2-1 and g(x)=3/x+2-2 inverses of each other?

GREYUIT [131]

Answer:

To find the inverse of:

$f (x)=\dfrac{4}{x-2}-1$

Set the function to y:

$\implies y=\dfrac{4}{x-2}-1$

Rearrange to make x the subject:

$\implies y+1=\dfrac{4}{x-2}$

$\implies (y+1)(x-2)=4$

$\implies xy-2y+x-2=4$

$\implies xy+x=2y+6$

$\implies x(y+1)=2y+6$

$\implies x=\dfrac{2y+6}{y+1}$

Swap x and y:

$\implies y=\dfrac{2x+6}{x+1}$

Change y to the inverse of the function sign:

$\implies f$ $\:^{-1}(x)=\dfrac{2x+6}{x+1}$

Rewrite g(x) as a fraction:

$g(x)=\dfrac{3}{x+2}-2$

$\implies g(x)=\dfrac{3}{x+2}-\dfrac{2(x+2)}{x+2}$

$\implies g(x)=\dfrac{3-2(x+2)}{x+2}$

$\implies g(x)=\dfrac{3-2x-4}{x+2}$

$\implies g(x)=-\dfrac{2x+1}{x+2}$

Therefore, as the inverse of f(x) ≠ g(x), the functions are NOT inverses of each other

4 0

2 years ago

How do you factor this trinomial 4a^2-4a+1

ElenaW [278]

Answer:

$(2a-1)(2a-1)$

Step-by-step explanation:

To write the factored form, multiply a*c from the standard form $ax^2+bx+c$ . Here it is 4*1 = 4.

Then find factors of 4 that add to b=-4.

4: 1,2,4

-2+-2 = -4

Split the middle term into -2x+-2x and factor by grouping.

$4a^2-2a+-2a+1\\(4a^2-2a)+(-2a+1)\\2a(2a-1)-1(2a-1)\\(2a-1)(2a-1)$

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3 years ago

There are six teachers in a room, ages, 40, 50, 45, 55, and 65. If a 29 year old teacher enters the room, how will the mean age

klasskru [66]

The old mean was 51 now the mean is 42.33... (round that to 42) 51 - 42 = 9

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3 years ago

Select the correct answer. Which triangles are congruent according to the SAS criterion?

beks73 [17]

Answer:

side angle side I think its ABC and LMN

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3 years ago

What is 2/5 divided by 1/4

Virty [35]

The answer for 2/5 divided by 1/4 is 0.1

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3 years ago