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3 years ago

7 = 3 (5 + x) what is x

Mathematics

1 answer:

finlep [7]3 years ago

7 0

Answer: x= -8/3

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

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

4 0

3 years ago

What is the square root of negative four

Dmitry [639]

The square root of negative four is 2

3 0

3 years ago

14 80 tiles of side 30cm were used to cover a counter top. Calculate the area of the counter top in square metres.

Komok [63]

Answer:

Step-by-step explanation:

1,480 is a lot of tiles. Did you mean 80 tiles?

30 cm = 0.3 m

Area of one tile = 0.3² m² = 0.09 m²

Multiply the number of tiles by 0.09 m².

3 0

3 years ago

Need help ASAP! PLSS

Lady bird [3.3K]

Answer:

i think u add them

Step-by-step explanation:

9+ 7+16=32

6 0

3 years ago

Please help meeeeee plzzzzz

matrenka [14]

tax because the tax shows you what you paid and ect

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3 years ago