Answer:
The required expression which determines the average rate of change in the given function f(x) is given by :
[tex]\bf f'(x)=\frac{f(9)-f(2)}{7}[/tex]
Step-by-step explanation:
The function is given to f(x)
The interval is given to be [2,9]
Let a = 2 and b = 9
The expression which is used to determine the average rate of change in f(x) is given by :
[tex]f'(x)=\frac{f(b)-f(a)}{b-a}[/tex]
Hence, The required expression which determines the average rate of change in the given function f(x) is given by :
[tex]f'(x)=\frac{f(9)-f(2)}{9-2}\\\\\implies\bf f'(x)=\frac{f(9)-f(2)}{7}[/tex]
