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3 years ago

Solve quadratic equation by factoring x^2-6x+9=0

1 answer:

7 0

What you have to find is what numbers add to -6 and multiply to 9. these numbers would be -3 and -3 (-3+-3=-6, -3*-3=9). substitute these in for -6x as x^2-3x-3x+9=0. then factor out c and three to get x(x-3)-3(x-3)=0. x-3=0 in both cases, so x is three.

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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 0.2 as a fraction

Vikentia [17]

It’s 2/10 there you go since there’s no 0 infort of the 2 it’s always a 10

3 0

3 years ago

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43.5 centimeters by 934 millimeters. Hello many centimeters are wood framing will she need

IRINA_888 [86]

273.8cm of wood framing

934mm=93.4cm

2(43.5+93.4)=y
2(136.9)=y
273.8=y

4 0

3 years ago

bre makes 2 pounds of bread dough he separates the dough in 1/4 pound loaves before baking them in the oven how many loaves does

3241004551 [841]

That would be 8. 1/4 goes into 1 4 times so it goes into 2 8 times.

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3 years ago

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Advantages and disadvantages of simple interest

omeli [17]

Answer:

Simple interest, specifically in bank offers a grace period of six days, which gives time to payback. When saving money or investing, if the interest rate is high then the customer benefits. The disadvantages in simple interest are that if the interest rate is high then the borrower will pay more.

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2 years ago

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