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Let $f(x) = 3x-8$ and $g(f(x)) = 2x^2 + 5x - 3.$ Find $g(-5).$

 Jul 15, 2018
 #1
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g(-5) equals g(f(x) so f(x) must equal -5. So

 

3x - 8 = -5.

 

Solving this gives x = 1. So now g(-5) equals

 

2 * 25 - 25 - 3 = 22. 

 Jul 15, 2018

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