Question: Given the function f(x)=4x+2. Find f(a+h)f(a)/h For the function f(x)=3x2+5x, evaluate and simplify f(x+h)f(x)/h Find the average rate of change of f(x)=7x 2 2 on

  1. Given the function f(x)=4x+2. Find f(a+h)f(a)/h
  2. For the function f(x)=3x2+5x, evaluate and simplify f(x+h)f(x)/h
  3. Find the average rate of change of f(x)=7x22 on the interval [4,a].
  4. Given f(x)=1/x+9, find the average rate of change of f(x) on the interval [10, 10+h].
  5. Given that f(x)=x25x and g(x)=x+1, find a. fg b.f/g and its domain
  6. The number of bacteria in a refrigerated food product is given by N(T)=22T2152T+75, 7

When the food is removed from the refrigerator, the temperature is given by T(t)=4t+1.3, where t is the time in hours. Find the time when the bacteria count reaches 19824.

7.The function h(x)=(x+8)2 can be expressed in the form f(g(x)), where f(x)=x2, and g(x) is defined below: g(x) = ?

8.The function h(x)=1/x+3 can be expressed in the form f(g(x)), where g(x)=(x+3), and f(x) is defined as: f(x) =?

9.Let f(x)=2x.

If g(x) is the graph of f(x) shifted down 4 units and right 6 units, writ a formula for g(x).

g(x) =?

10.Given f(x)=x2, after performing the following transformations: shift upward 58 units and shift 65 units to the right, the new function g(x)=?

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