SOLUTION: I need help finding the difference quotient for the following function. F(x)=5x-4 Find for these: 1) f(x+h)= 2) f(x)= 3)f(x+h)-f(x)= 4)(f(x+h)-f(x))/h=

Algebra ->  Functions -> SOLUTION: I need help finding the difference quotient for the following function. F(x)=5x-4 Find for these: 1) f(x+h)= 2) f(x)= 3)f(x+h)-f(x)= 4)(f(x+h)-f(x))/h=      Log On


   



Question 1086598: I need help finding the difference quotient for the following function.
F(x)=5x-4
Find for these:
1) f(x+h)=
2) f(x)=
3)f(x+h)-f(x)=
4)(f(x+h)-f(x))/h=

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
You need to just make the appropriate substitutions and then simplify the difference quotient expression.

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NOT both f and F as 5x-4. Choose either of them and stick to it.

f%28x%29=5x-4, your given function

f%28x%2Bh%29=5%28x%2Bh%29-4, using x%2Bh as the function's input

h, the increment to have been made to x

DO THE SUBSTITUTIONS INTO DIFFERENCE QUOTIENT:
%285%28x%2Bh%29-4-%285x-4%29%29%2Fh
AND SIMPLIFY THIS EXPRESSION!




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