SOLUTION: How would I do this problem? Compute and simplify {{{ (F(x+h)-F(x))/h }}} (assume H is not = 0), given: {{{F( x )= x^2 + 3x }}}

Algebra ->  Functions -> SOLUTION: How would I do this problem? Compute and simplify {{{ (F(x+h)-F(x))/h }}} (assume H is not = 0), given: {{{F( x )= x^2 + 3x }}}      Log On


   



Question 267136: How would I do this problem?
Compute and simplify +%28F%28x%2Bh%29-F%28x%29%29%2Fh+ (assume H is not = 0), given:
F%28+x+%29=+x%5E2+%2B+3x+

Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
The basic idea is to replace 'x' in F(x) with 'x+h' in order to obtain F(x+h).

F%28x%29=+x%5E2+%2B+3x+
F%28x%2Bh%29=+%28x%2Bh%29%5E2+%2B+3%28x%2Bh%29
F%28x%2Bh%29=+x%5E2+%2B+2hx+%2B+h%5E2+%2B+3x+%2B+3h

%28F%28x%2Bh%29+-+F%28x%29%29%2Fh=+%282hx+%2B+h%5E2+%2B+3h%29%2Fh
%28F%28x%2Bh%29+-+F%28x%29%29%2Fh=+2x+%2B+h+%2B+3