given h(x)=1/2x^2-10. Evaluate h(2x+1).

Question

Answers:

 

1. 2x^2+2x-10

 

2. 2x^2-2x-9.5

 

3. 2x^2+2x+19/2

 

4. 2x^2+2x-19/2

 

 

Answer 1

For all of these questions, wherever you x in the expression, substitute it for (2x + 1).  Then simplify.  I will do the first one for you.

 

2(2x + 1)² + 2(2x + 1) - 10 =

 

2(2x + 1)(2x + 1) + 2(2x + 1) - 10 =

 

2(4x² + 4x + 1) + 4x + 2 - 10 =

 

8x² + 8x + 2 + 4x + 2 - 10 =

 

8x² + 12x - 6