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Consider the function $f(x) = 2x^2 - 4x + 9$. Evaluate $2f(3) + 3f(-3)$.

 Nov 10, 2014

Best Answer 

 #3
avatar+118723 
+5

$$\\f(x)=2x^2-4x+9\\
f(x)=2\times x^2-4\times x+9\\\\
$for f(3) you have to put a 3 everywhere that there was an x$\\
f(3)=2\times 3^2-4\times 3+9=2\times 9-12+9=18-12+9=15\\\\
$for f(-3) you have to put a -3 everywhere that there was an x$\\
f(-3)=2\times (-3)^2-4\times (-3)+9=2\times 9+12+9=18+12+9=39\\
so\\
2f(3)+3f(-3) = 2*15+3*39 = 30+117 = 147$$

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 Nov 11, 2014
 #1
avatar+130511 
+5

2f(3) says to put 3 into the function and multiply the result by 2

3f(-3) says to put -3 into the function and multiply the result by 3

Then just add the two above results together

Post back if you have trouble with this.....

 

 Nov 10, 2014
 #2
avatar
0

Yeah, I need help

 Nov 10, 2014
 #3
avatar+118723 
+5
Best Answer

$$\\f(x)=2x^2-4x+9\\
f(x)=2\times x^2-4\times x+9\\\\
$for f(3) you have to put a 3 everywhere that there was an x$\\
f(3)=2\times 3^2-4\times 3+9=2\times 9-12+9=18-12+9=15\\\\
$for f(-3) you have to put a -3 everywhere that there was an x$\\
f(-3)=2\times (-3)^2-4\times (-3)+9=2\times 9+12+9=18+12+9=39\\
so\\
2f(3)+3f(-3) = 2*15+3*39 = 30+117 = 147$$

Melody Nov 11, 2014

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