SOLUTION: Find f(x+h)-f(x)/h where f(x)=x^2+4x+5
Algebra.Com
Question 118980: Find f(x+h)-f(x)/h where f(x)=x^2+4x+5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
-f(x)}{h} = \frac{{f\left( {x + h } \right) - f\left( x \right)}}{h })
-f(x)}{h} = \frac{(x+h)^2+4(x+h)+5 -\left(x^2+4x+5\right)}{h })
Plug in and
-f(x)}{h} = \frac{\left[x^2+2hx+h^2+4x+4h+5\right] -\left(x^2+4x+5\right)}{h })
Foil/Expand
-f(x)}{h} = \frac{2hx+4h+h^2}{h })
Combine like terms (i.e. combine to get 0)
-f(x)}{h} = \frac{h\left(2x+4+h\right)}{h })
Factor out an h
-f(x)}{h} = \frac{2x+4+h}{1})
Divide to get 1
-f(x)}{h} = 2x+4+h)
Simplify
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