Consider the function for x +0 f(x) 1 for x = 0. (a) Would you expect f(x) dx to be defined? Explain your answer.

Q: Find the domain of the following function 1 f (x) = 2 + f (x) Vx

A: Given function,                            f(x)=12+x

Q: Consider the function f(x) = xn , where n is odd. Does f −1 exist? Explain.

A:

Q: Estimate the value of the f(0.01) for the function f(x)=x²–2x+3. ○ 2.98 3.02 O 3.04 O 2.96

A:

Q: Consider the following functions. f(x) = x, g(x) - Vx- 6 Find (fo g)(x). Find the domain of (fo…

A: Given functions are fx=x2 and gx=x-6. To find: fogx and the domain of fogx. Solution: Finding fogx.…

Q: 3 Let f(x) = ー1 Find f-1(x) and (ff)(x). Explain in detail all the steps.

A:

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: f(r) = 2r² - e² %3D

A:

Q: x2 Let f(x) be the function f(x) : 1. Find f(3) . - x + 3 f(3) = Please write your answer to 3…

A:

Q: Given the one-to-one function defined by f(x) = Vx – 4 + 1- write an equation for f -1(x).

A: The given one-to-one function is To find the inverse of f(x), replace f(x) by y. Now interchange…

Q: given the function h(x)=2/3-x, find f(1/2)

A: Note f=h. Given: h(x) = 2/3-x. So,       h(1/2)=2/3-(1/2)                =1/6

Q: Consider the function y= f(x). If we shift f upward by 7 units and reflect it about the x-axis we…

A: Topic :- Functions

Q: Is f (x) = ( ½) x increasing or decreasing?

A: Given: fx=12xIncreasing Function:    If  f'x>0  for every x on some interval I, then fx is…

Q: What happens to the function f (x) = x² when it becomes f'(x) = x² – 3? It moves 3 units to the…

A:

Q: Differentiate the function. 2 f(s) : (2s7 + 5)8 f'(s) =

A:

Q: Consider the following functions. f(x) = x + 5 g(x) = 2x - 3 Use the functions to find (g o f)-1,

A: Here we need to find the Inverse of the required function. To find inverse initially we find…

Q: Given: f(x) = 3x-2 %3D Find: f'(x)

A: Given that f(x)=3x-2. We have to find f-1(x). Let y=f-1(x). Then  f(y)=f(f-1(x))=x.

Q: 2x + Vx. 4. Determine a function f (x) knowing that f"(x) = 16e¬

A:

Q: Let s(x) = 3 - x and t(x) = x² – x – 6. Find the following function value. (s/t)(1)

A:

Q: 6. If f(x) = 10x – 5, what is f-1(ƒ (3))?

A:

Q: Differentiate the following and simplify. Show all work, thank you! Part ( a) and (b).

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: