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2 years ago

F(x)= 2-1/xg(x)= x/2what is f(g(x))?

1 answer:

8 0

To find f(g(x)), plug g(x) into f(x) and simplify.

f(x/2) = 2 - 1/(x/2)

All you have to do is simplify the right side of the equation.

Take it from here.

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Sonbull [250]

$\large\displaystyle\text{$\begin{gathered}\sf 9|x-8| < 36 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Divide \ both \ sides \ by \ 9. \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \frac{9(|x-8|)}{9} < \frac{36}{9} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf |x-8| < 4 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Solve \ Absolute \ Value. \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf |x-8| < 4 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf We \ know \ x-8 < 4 \ and \ x-8 > -4 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf x-8 < 4 \ (Condition \ 1) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x-8+8 < 4+8 \ (Add \ 8 \ to \ both \ sides) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x < 12 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf x-8 > -4 \ (Condition \ 2) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x-8+8 > -4+8 \ (Add \ 8 \ to \ both \ \ sides) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x > 4 \end{gathered}$}$

<u /> $\underline{\boldsymbol{\sf{Answer}}}$

$\boxed{\large\displaystyle\text{$\begin{gathered}\sf x < 12 \ and \ x > 4 \end{gathered}$} }$

$\large\displaystyle\text{$\begin{gathered}\sf Therefore,\bf{\underline{the \ correct \ option}} \ \end{gathered}$}\large\displaystyle\text{$\begin{gathered}\sf is \ \bf{\underline{"A"}}. \end{gathered}$}$

6 0

1 year ago

.nxmdmxmxmdmmddmm mcmcmfmfmcmxmcmc fnnffn

lilavasa [31]

Answer:

what do you want to ask brother...

Step-by-step explanation:

or you post this by mistake.....

6 0

2 years ago

Evaluate the following expression when x = 3 and y = 4:

JulijaS [17]

I don't understand. What are the values given? Are they values of an x,y plot?
If you plot them they are a straight line with y =6x - 2.9 but I don't know what you mean by when x=3 and y = 4?

5 0

3 years ago

given y left parenthesis z right parenthesis equals space fraction numerator z squared minus 1 over denominator z left parenthes

aivan3 [116]

The simplification of the given algebraic expression is;

yz = (z + 1)/z(z - 1)

<h3>How to simplify algebraic expressions?</h3>

We are given y left parenthesis z right parenthesis which is expressed as; yz

Now, we are given the algebraic expression that yz equals space fraction numerator z squared minus 1 over denominator z left parenthesis z minus 1 right parenthesis squared end fraction

z squared minus 1 over denominator z left parenthesis z minus 1 right parenthesis squared end fraction is expressed as; (z² - 1)/z(z - 1)²

Thus, our main expression is;

yz = (z² - 1)/z(z - 1)²

Factorizing the numerator and denominator gives;

yz = (z + 1)(z - 1)/z(z - 1)(z - 1)

(z - 1) is common to both numerator and denominator and as such, we now have;

yz = (z + 1)/z(z - 1)

Read more about Algebraic Expressions at; brainly.com/question/4344214

#SPJ4

5 0

9 months ago

Choose the definition for the function.

seraphim [82]

Answer:

In mathematics, a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.

6 0

2 years ago