For  f(x) = square root 7x  and  g(x) = x2,  find the following. (a)    (f + g)(x) (b)    (f − g)(x) (c)    (f · g)(x)

Q: For the functions f(x)=7x−2 and g(x)=3x2−7x−2, find (f⋅g)(x) and (f⋅g)(3)

A: given, f(x)=7x-2andg(x)=3x2-7x-2 we have to find the value of (f.g)(x) and (f.g)(3)

Q: Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.   f(x)=x−−√x+8,…

A: Given: fx=x-x+8 and gx=x2+9 The objective is to find f(g(x)) and g(f(x)).

Q: If f(x) = 5x2x+4, find the following. f(3) f(-3) f(a) f(-a) = = = = f(a + 1) = 2f(a) = f(2a) f(a²) =…

A: Step 1: Step 2: Step 3: Step 4:

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: Use f(x) = 3x – 4 and g(x) = 2 – x² to evaluate the expression. %3D (a) f(f(2)) (b) g(g(3))

A:

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.