Calculate the average rate of change of function on the interval (a, a+h). simplify your expression. Show all steps. f(x)=3x+2/2x-1

Please check the explanation.

Step-by-step explanation:

Given the function

at x₁ = a,

at x₂ = a+h,

Using the formula to determine the average rate of change

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

as a+h-a = h, so    

Thus, the everarge rate of chnage:  

We can further simplify such as:

Cancel the common factor h

what do u need to know

step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116