Find and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$ for the given function.
-$$f ( x ) = 9$$
A) $1 + \frac { 18 } { \mathrm {~h} }$
B) 0
C) 9
D) 1

Question

Quizplus · Accepted Answer

The function $f(x) = 9$ is a constant function, meaning its value does not change with $x$. Therefore, $f(x + h) = 9$ and $f(x) = 9$. The difference quotient simplifies to $\frac{9 - 9}{h} = \frac{0}{h} = 0$.

Find and Simplify the Difference Quotient f(x+h)−f(x)h,h≠0\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0hf(x+h)−f(x)​,h=0

Find and Simplify the Difference Quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$