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Given \( \delta(x) = 3x + 8\) and \( \phi(x) = 8x + 7\), what is \(x\) if \( \delta(\phi(x)) = 7\)?

 Feb 10, 2018
 #1
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δ (x)  = 3x + 8       Φ(x)  =  8x + 7

 

So

 

δ ( Φ (x) )  =  7        means that

 

3 [ 8x + 7 ]  +  8   =  7

 

24x + 21  +  8  =  7

 

24x + 29  = 7    subtract  29 from both sides

 

24x  =  -22       divide both sides by  24

 

x  = -22 / 24   =   - 11  / 12

 

 

 

cool cool cool

 Feb 10, 2018

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