98, find the difference quotient of f; that is, find (f(x + h)-f(x))/h, h ≠ 0. for each function. be sure to…

98, find the difference quotient of f; that is, find (f(x + h)-f(x))/h, h ≠ 0. for each function. be sure to simplify. x + 3 84. f(x)=-3x + 1 85. f(x)=x² - 4 86. f(x)=3x² + 2 ² - x + 4 88. f(x)=3x² - 2x + 6 89. f(x)=5/(4x - 3) 90. f(x)=1/(x + 3) 2x/( + 3) 92. f(x)=5x/(x - 4) 93. f(x)=√(x - 2) 94. f(x)=√(x + 1)

98, find the difference quotient of f; that is, find (f(x + h)-f(x))/h, h ≠ 0. for each function. be sure to simplify. x + 3 84. f(x)=-3x + 1 85. f(x)=x² - 4 86. f(x)=3x² + 2 ² - x + 4 88. f(x)=3x² - 2x + 6 89. f(x)=5/(4x - 3) 90. f(x)=1/(x + 3) 2x/( + 3) 92. f(x)=5x/(x - 4) 93. f(x)=√(x - 2) 94. f(x)=√(x + 1)

Answer

Explanation:

Step1: First, find (f(x + h)) for (f(x)=-3x + 1)

Substitute (x+h) into (f(x)): (f(x + h)=-3(x + h)+1=-3x-3h + 1)

Step2: Then, calculate (f(x + h)-f(x))

(f(x + h)-f(x)=(-3x-3h + 1)-(-3x + 1)=-3x-3h + 1 + 3x-1=-3h)

Step3: Finally, find the difference - quotient (\frac{f(x + h)-f(x)}{h})

(\frac{f(x + h)-f(x)}{h}=\frac{-3h}{h}=-3)

Answer:

(-3)