Find and simplify the difference quotient of f,

f(x + h) - f(x)

h

andhcan not equal0, for the function.

f(x) =

1

7x

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- Feb 14th 2009, 05:55 PMRandomabcdefghiDifference Quotient - College Algreba
Find and simplify the difference quotient of f,

__f(x + h) - f(x)__

h

and**h**can not equal**0**, for the function.

f(x) =

__1__

7x - Feb 14th 2009, 08:58 PMJhevon
for $\displaystyle f(x) = \frac 1{7x}$ we have $\displaystyle f(x + h) = \frac 1{7(x + h)}$

now plug these into the formula and simplify. Hint: multiply by the LCD of the fractions in the numerator over itself. that is, multiply by $\displaystyle \frac {7x(x + h)}{7x(x + h)}$