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2 years ago

What is the symbol of an inverse function

Mathematics

1 answer:

Nataly_w [17]2 years ago

8 0

Answer:

f(-1

Step-by-step explanation:

The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse".

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Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch. f(x)=sqrt(x) and g

SpyIntel [72]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind, let's see $\bf f(x)=\sqrt{x}\qquad 
\begin{array}{llll}
g(x)=&\sqrt{0.5x}\\
&\quad \uparrow \\
&\quad B
\end{array}$

so B went form 1 on f(x), down to 0.5 or 1/2 on g(x)
B = 1/2, thus the graph is stretched by twice as much.

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3 years ago

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Geometry help. abcd is a parallelogram

joja [24]

The first and the 2nd one are correct because x is 21 and y is 49
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2 years ago

A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from ea

777dan777 [17]

Answer:

The mean and standard deviation of Y is $6.56 and $2.77 respectively.

Step-by-step explanation:

Consider the provided information.

Let Y represent their profit on a randomly selected pizza with this promotion.

The company is going to run a promotion where customers get $2 off any size pizza.

Therefore, $Y=\text{Profit}-\$2$

$Y=X-\$2$

So the mean will be reduced by 2.

$\mu_Y=\mu_X-\$2$

$\mu_Y =\$ 8.56 - \$2$

$\mu_Y =\$6.56$

If we add or subtract any constant number from a given distribution, then the mean is changed by the same number(i.e constant number) but the standard deviation will remain the same.

Therefore $\sigma_Y=\sigma_X=2.77$

Hence, the mean and standard deviation of Y is $6.56 and $2.77 respectively.

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3 years ago

Solve!!!!! PLEASE HELP!!! MKE BRAINLIEST!<br> 2x^2 - 28 = x^2 + 15<br> What is the answer!

padilas [110]

Answer:

x = ± sqrt(43)

Step-by-step explanation:

2x^2 - 28 = x^2 + 15

Subtract x^2 from each side

2x^2-x^2 - 28 = x^2-x^2 + 15

x^2 -28 = 15

Add 28 to each side

x^2 - 28 +28= 15+28

x^2 = 43

Take the square root of each side

sqrt(x^2) = ± sqrt(43)

x = ± sqrt(43)

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adoni [48]

Answer:

231.8?

Step-by-step explanation:

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1 year ago

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What is the symbol of an inverse function​

What is the symbol of an inverse function