Question

Please need help i dont understand the symbol

Answer 1

f(x) = 2x² + 8, so f(x + h) = 2(x + h)² + 8

So the average rate of change is:

`(f(x + h) - f(x))/(h) =`

`\frac{2 {(x + h)}^(2) + 8 - (2 {x}^(2) + 8 )}{h} =`

`\frac{2 {x}^(2) + 4xh + 2 {h}^(2) + 8 - 2 {x}^(2) - 8 }{h} =`

`\frac{ {2h}^(2) + 4xh}{h} = 2h + 4x`