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3 years ago

Find the domain of f(x) = Square 3 x + 8

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

6 0

The question is a bit ambiguous: you may mean

$\sqrt{3x+8}$

$\sqrt{3x}+8$

Anyway, in both cases, the domain of a function involving a square root is found by imposing the content of the root to be greateer than or equal to zero. So, in the first case you have

$3x+8\geq 0 \iff 3x\geq -8 \iff x\geq -\dfrac{8}{3}$

In the second case, you have

$3x\geq 0 \iff x\geq 0$

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Am I correct ??? I don’t really know

Setler [38]

What you have here is a situation with two <em>similar triangles. </em>The triangle in the lower left is similar to the triangle in the upper right - I've included an image with "cutouts" of those triangles so you can see the similarities. Similar triangles have a very important property: <em>the ratios of their corresponding sides are equivalent</em>. Here, we can set up a ratio between the sides of length 64 and x on the larger triangle, and the corresponding sides of length x and 36 on the smaller triangle. Setting the two equal to each other, we have

$\frac{64}{x}= \frac{x}{36}$

Multiplying both sides of the equation by 36 and x, we get

$64\cdot36=x^2$

finally, we take the square root of both sides of the equation to find x:

$\sqrt{64\cdot36}=x\\
\sqrt{64}\sqrt{36}=x\\
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3 years ago

A bucket holds, at most, 30 golf balls. How many buckets are needed to hold 96 golf balls?

Ket [755]

Answer: 4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which expression is the factored form of -4.5n + 3

IgorLugansk [536]

Answer:

-1.5 (3n-2)

Step-by-step explanation:

Factor -1.5 out of -4.5n+3

6 0

3 years ago

What is the domain of the function f(x)= x + 1 / x^2 - 6x + 8?

VARVARA [1.3K]

Answer:
all real numbers except 4 and 2

Explanation:
The given function is:
f(x) = $\frac{x+1}{x^2-6x+8}$

Domain of the function is defined as the values of x that can be used to substitute in the function.

We know that any fraction cannot have a zero in its denominator. Because if this happens, then the fraction would be undefined.

This means that in the given function, we cannot substitute with any value for x that makes the denominator a zero.

Now, we will get the zeroes of the denominator as follows:
x² - 6x + 8 = 0
(x-4)(x-2) = 0
either x-4 = 0 ...........> x = 4
or x-2 = 0 .............> x = 2

Based on the above, we can substitute with any value for x excluding 4 and 2.

This means that the domain of the function is any real real number except 4 and 2

Hope this helps :)

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3 years ago

The midpoint of A (-4, 2) and B(8, 5) is

Norma-Jean [14]

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -4}}\quad ,&{{ 2}})\quad 
% (c,d)
&({{ 8}}\quad ,&{{ 5}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ 8}} -4}{2}\quad ,\quad \cfrac{{{ 5}} + {{ 2}}}{2} \right)$

8 0

3 years ago

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Find the domain of f(x) = Square 3 x + 8 ​

Find the domain of f(x) = Square 3 x + 8