f(x) = Vx and g(x) = x³ - 8 Find the formula for (f+ g)(x) and simplify your answer.

Q: Find  (f · g)(x). Simplify the result. f(x)  =  x + 4 g(x)  =  7x − 3

A: Given, f(x)  =  x + 4 g(x)  =  7x − 3 We have to find (f·g)(x)

Q: Given that f(x) = 7x – 5 and g(æ) = 9 – a², calculate %3D (a) f(9(0))= (b) g(f(0))= Check Answer

A: Consider the given functions, fx=7x-5  and  gx=9-x2 (a) Find the composition function. fgx=fg(0)…

Q: f(x)=4x-x2. Simplify f(a+h)-f(a)/h

A:

Q: For g (x) = x² + 8x + 4, find and simplify g(1 + h) – g(1). (a) g(1+h) = (b) g(1) = (c) g(1+ h) –…

A: Given,       g(x)=x2+8x+4

Q: Use the functions f(x) = x − 3 and g(x) = x³ to find the value or function. (g-¹ of ¹)(-3) (g-¹ of…

A:

Q: If f(x) is the height, in inches, of a tomato plant that is x days old, what is the meaning of f(45)…

A:

Q: Given f (x) = x/(x2 - 4), find and simplify f (3x).

A: given, f(x)=x(x2-4)

Q: Solve for r figh) (x)) end

A: Solution

Q: Use f(x) = 3x – 2 and g(x) = 5 – x2 to evaluate the expression. | (a) (fo )(x) (b) (g o g)(x)

A: We have to evaluate f composition of f and g composition of g .

Q: 8. A bullet is shot straight up from the top of a cliff that is 960 feet above the sea it overlooks.…

A: Given function of height  height after 5 second

Q: Consider the following functions. f(x) = 5x + 5; g(x) = 3x2 + 3 (a) Write the sum of the two…

A: As per our guidelines we are suppose to solve only three sub-parts of a question if the multiple…

Q: f(x) = 2x − 3,   g(x) = 3x + 9;   −1 (a) Find the function  fg?

A: Given functions are: f(x)=2x-3and g(x)=3x+9

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.