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3 years ago

If b = 5, then 4 1 · 4 b is equal to?

1 answer:

4 0

If b=5, then 41•4b=?
41•4b
Substitute b with 5, because we know that b will gonna be equal to 5
41•4(5)
=41•20
=820. As a result, 41•4b=820 if b=5. Hope it help!

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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

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viva [34]

I hope this picture helps, but next time try to chose a number to cancel out the fraction. Example, y=1/3x+4 chose 3,6,9 and other multiples of 3.

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3 years ago

Please help with these math comparisons!? explain

dem82 [27]

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3 years ago

Horse Of Course sells "Juan the horse" t-shirts for $23. Due to increased popularity, the store will raise the price by 8%. What

Sliva [168]

Answer:

the new price of the t-shirt is $24.84

Step-by-step explanation:

The computation of the new price of the t-shirt is shown below

= Price of the t-shirt × (1 + increased percentage)

= $23 × (1 + 0.08)

= $23 × 1.08

= $24.84

Hence, the new price of the t-shirt is $24.84

We simply applied the above formula so that the correct value could come

And, the same is to be considered

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3 years ago

Write (y^2)^3 without exponents, and fill in the blank

irinina [24]

Answer:

y*y*y*y*y*y

Step-by-step explanation:

$(y^{2})^{3} = y^{6} = y*y*y*y*y*y$

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3 years ago