Mathematics: Equation Problem................................

Question

David · Accepted Answer

1 

Question 1 
 Given equation   
f(x) = - 4x
2
 + 3x – 5
a) f (3) = ?  
f(x)  = - 4x
2
 + 3x – 5 
f (3) = - 4.(3)
2
 + 3.(3) – 5 
= -36+ 9-5 
=-32
b)  f(-2x) + 5 f(x) = ? 
f(x) = - 4x
2
 + 3x – 5
f(-2x) =  - 4 .( -2x)
2
 + 3(-2x) – 5   
= -4(4 x
2
) -6x -5  
= -16 x
2 
-6x-5
5f(x) = 5. (- 4x
2
 + 3x – 5)  
= -20 x
2 
+15x – 25   
Now,  
2 
 
f(-2x) + 5 f(x) =( -16 x
2 
-6x-5 ) + (-20 x
2 
+15x – 25 ) 
= -16 x
2 
– 6x – 5 - 20 x
2 
+15 x – 25   
= - 36 x
2
 + 9x – 30
c) 
 ( )   ( )
   
 = ?
 ( )   - 4x2 + 3x – 5
 ( )   - 4(a)2 + 3.(a) – 5  = - 4 a2 + 3a - 5 
Now,

Mathematics: Equation Problem................................

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