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3 years ago

5

For f(x)=3x+1 and g(x)=x^2-6, find (f o g)(x)

1 answer:

Eddi Din [679]3 years ago

8 0

The answer is: " <span>3x² − 17 " .
______________________________________</span>
f(x) = 3x + 1 ;
________________________________________________
If g(x) = x² − 6 ;

then: (f o g)(x) = f(x² − 6) = 3x + 1 ;

= 3(x² − 6) + 1 = 3x² − 18 + 1 ;

= 3x² − 17 .
_______________________________________________

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Step-by-step explanation:

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Elimination Method

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If we multiply the equation 3 by (-1) we obtain this:

$\begin{gathered} -2X+Y-2Z=-8 \\ 7X+Y+Z=-1 \\ -5X-2Y+Z=9 \end{gathered}$

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$\begin{gathered} 5X=-9-2Y+Z \\ X=\frac{-9-2Y+Z}{5} \\ \end{gathered}$

2. We can replace this value of X in the 1st and 2nd equations

$\begin{gathered} -2\cdot(\frac{-9-2Y+Z}{5})+Y-2Z=-8 \\ 7\cdot(\frac{-9-2Y+Z}{5})+Y+Z=-1 \end{gathered}$

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$\begin{gathered} \frac{-9Y+12Z-63}{5}=-1 \\ \frac{9Y-12Z+18}{5}=-8 \end{gathered}$

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1 year ago

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3 years ago

Read 2 more answers

How many cubes with the side lengths of 1/2 cm does it take to fill the prisim?

My name is Ann [436]

Answer:

Number of cubes that fills the prism=24

Step-by-step explanation:

The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm

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$Side*Side*Side\\\\=0.5*0.5*0.5$

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Number of cubes that fills the prism:

$3.0/0.125\\\\=24 cubes$

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