2. Verify that f has an inverse and find (f-1)'(c) f (x) — 1 — 2х — х3, с — 4 [Hint: Find f1(4) using graph]

Q: For the functions given, find a) (f • g)(x) and b) (f•g)(2). f(x) = x- 5, g(x) =x+8 a) (f•g)(x) =…

A: Here two functions are given f(x) and g(x) . We have to find the composite functions. That is…

Q: 2. Find the zeros of f(x)=x² -x-12.

A:

Q: Give the domain for t(x)= x+1/x2-3x-18

A: Given function is,

Q: On which of the following intervals is f(x) = continuous? Vx-2

A:

Q: What does is mean for two functions f(x) and g(x) to be orthogonal

A:

Q: Find f′(x), if f(x)=(x4+1)(3x−1).

A:

Q: For #'s 11 – 14 , h(x) = (ƒ og)(x) Let h(x)= (5x+1)* - (5x +1) and S(x) = x² – x, find g(x) Let h(x)…

A: Given: hx=fgx Q 13: hx=5x+12-5x+1 fx=x2-x Now, As per question hx=fgx=gx2-gx Or gx2-gx=5x+12-5x+1 On…

Q: 2x-3 Let f(x)= Compute (1 -i/2). (1 – i/2)=

A:

Q: If f(x)=1/x5​, compute f(2) and f ′(2).

A:

Q: f(x) = x²e*

A: Here we have to determine the inflection points of f(x). Givne:- f(x)=x2ex Differentiate with…

Q: The inverse of the function f(x) is f'(x) x + 5 (1 – æ) (5л + 9) (5л + 9) (1 – 2) O (5x + 9) (1+x)…

A:

Q: t- 1 (6) g(t) = + logs 8 – t

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.