given the function f(x)=1/11x, find the diffe...
given the function f(x)=1/11x, find the difference quotient f(-4 + h)-f(-4)/h. f(-4 + h)= part 2 of 3 f(-4)=
Answer
# Explanation:
## Step1: Find \(f(-4 + h)\)
Substitute \(x=-4 + h\) into \(f(x)=\frac{1}{11x}\).
\(f(-4 + h)=\frac{1}{11(-4 + h)}=\frac{1}{-44+11h}\)
## Step2: Find \(f(-4)\)
Substitute \(x = - 4\) into \(f(x)=\frac{1}{11x}\).
\(f(-4)=\frac{1}{11\times(-4)}=-\frac{1}{44}\)
# Answer:
Part 1: \(\frac{1}{-44 + 11h}\)
Part 2: \(-\frac{1}{44}\)