find the limit of rational function (a) as x→00 and (b) as x→ -o. 3x7 + 5x? – 1 f(x) 6x3 7x + 3 -

Q: For the function f(x) = 7x² - 3x + 2, f(x+h)-f(x) h evaluate

A: f(x)=7x2−3x+2

Q: Define f (x) = 4+x – x² and g(x) = 5x 3. - Find the value of (go f)(3). o f)(3).

A:

Q: Determine a rational expression that could have the simplified form q(x) =(x-8)/x restrictions x ≠…

A: Given,            The simplified form qx=x-8x restrictions x ≠ 0,+8,-8.To find : Determine a…

Q: Find - f(x) when f(x)=2x²-3x+2 OA 2x²+3x+2 OB-2x2+3x+2 OC -2x² + 3x - 2 OD 2x²+3x-2

A: given   f(x)=2x2-3x+2

Q: What is the domain of the radical function f(x)=√2x²-5x-12? D: (-∞0, ∞0) D: [-1.5, 4] D: [-1.5, ⁰⁰)…

A: The function is given byTo determine: The domain of the the function.Domain Restrictions for Square…

Q: 8. Find one zero of the polynomial f(x)=2x-x-6x+3 %3D

A: Given function is: Apply rational root theorem to get roots of polynomial. If the polynomial has a…

Q: Find the points of inflection and the intervals on which f (x) = 3x5 − 5x4 + 1 is concave up and…

A: Consider the provided function, fx=3x5-5x4+1 Find the points of inflection and the intervals. For…

Q: Find the domain of the rational function f(x) =5x/(x - 4).

A: Consider the provided function, fx=5xx-4 Find the domain of the rational function. The domain of the…

Q: The function f(x) =is 1-z2 Is 9+z2

A:

Q: Let  f(x) = (2x − 9) / (x + 2). (b) Show f −1 exists. Let f(a) = f(b) and show that a = b.…

A:

Q: Find the horizontal asymptote of f(x)=5x+4x3+2 over −4x3+3x2−1. y =

A:

Q: Find the open interval(s) on which f(x) = - 5x+ 50x +8 is increasing or decreasing.

A: Given that:

Q: Find functions f and g such that h(x) = f(g(x)), when h(x) = (9x³ – 5x)³ – (9x³ – 5x)² + 11.

A: