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: - 110 1 I 9

A:

Q: Find the inverse of f(x) = (x - 1)/(x + 1).

A: Given function:

Q: 9) let f(x) = (x +2)² - 12. a) Sketch a "good enough graph" of f. b) Determine the number of…

A: (a) f(x)=(x+2)2−12

Q: Suppose that f(x)f(x) is a function with f(90)=64 and f′(90)=4 Estimate f(92) f(92) =

A: Use the information on f(x) and f'(x) at x=90 to find the approximate value of f(92) (using…

Q: inverse

A:

Q: Find the inverse function of f (x) = mx + b. Give one example with specific values of m and b so…

A: Inverse of function

Q: Find the inverses of y=(1-e-x)/(1+e-x).

A:

Q: a. Suppose that ƒ(x) = g(x³) + eg(3x) where g' and g" exist. Find f' and f" in terms of g' and g".…

A: Here we have given a composition of a function as given below.

Q: Select which function f has an inverse g that satisfies g'(1) = Of(x) = 2x³ Of(x) == x³ Of(x) = x³…

A: To find the function  that has an inverse  that satisfies .

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: 5. Sketch the graph of one function f(x) that has all of the following properties: a.) f(-2) 0 b.)…

A: As per our guidelines we are supposed to answer  only one question. Here question 5) answer.

Q: 4. Consider the functions k(x)= 27* and m(x) = 9 · 3ª. (a) Are k(x) and m(x) the same function?…

A: Given: Functions k(x)=27x and m(x)=9·3x

Q: 7. Find the inverse of f(x) =D5x + 10.

A: y=f(x) iimplise x=f^(-1) (y) given function Find value of x  then replace y  in x

Q: For the function z = - 8x³ - 2y² - 2xy, find a z(1,-2), andz(1,-2). dz dz a ax' dy ax

A:

Q: Let f(x) = √√x² + 3.

A:

Q: Suppose g(x) = 3x / 4−x . (a) Give the domain of g. (b) Show that -3 is NOT in the range of g.…

A: given g(x)=3x4-x

Q: Find the inverse for the function f(x)=D (x + 3)°. %3D Ox = V3 + y Ox = V3 - y Ox = Vy- 3 Or= Ox =…

A:

Q: raph of the function f(x) = x³ + 2x - 1. So, the point (2,1) lies i (f¹)'(2). (Here f-1 denotes the…

A: Given query is to find indicated function.

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.