Exercise 3: Let: ax + b f(x) = cx + d' (a) Under what conditions on a,b, c, d e R is ƒ injective? find f-1. case, (b) In this Hint: Despite the fact it does not make logical sense, it is easier to do (b) first. I guess you should try to solve for the inverse, and then note what assumptions you make along the way.

Q: Let f(x) = 4x + 3. Determine (f ofo f)(x). (f o f o f)(x)

A: Composite functions: composite functions are the functions substituted inside the other function.…

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

A:

Q: Given the functions f(x) = x² - 7 and g(x) = 2 - x³, determine the value of f(g(2)) Given the…

A:

Q: For f (x1, x2, 3) = IIM (3, 4, 6, 7), which would be the best approach to simplify, SOP or POS?…

A: The expression  .SOP: Sum of the product of terms.POS: Product of sum of terms.

Q: If g(a)= b and f(b) = c, then explain how to find (f og) (a)

A: Given g(a)= b ......(1) f(b) = c .....(2)

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: Write f(t) = 7e.8t in the form f(t) = Pob' and determine Po and b. (Give exact answers using…

A: given that  f(t) =7e1.8t  = 7(e1.8) t .......... (1)  and f(t) = Pobt............ (2)  Now on…

Q: 2. Let f(x) = x2 +1 and g(x) = x – 4. Find the following: (d) (f og)(0) (e) (a o f)(1).

A:

Q: 2x+ex-1 +3

A: The function is given as fx=2x+ex-1+3. The derivative of the function is ,  f'x=2+ex-1. Let the…

Q: Given this graph of the function f(x), find: F(x) * d) f(5) = e) x when f(x) = 2 f) x when f(x) = 0

A: given the graph of function f(x)

Q: Ax) Consider the functions = 3* g(x) : %3D and x*. Determine

A: Consider the functions f(x)=13x and g(x)=1x2. We have to determine the value f112-g15.

Q: 19. Evaluate the difference quoatient: f(x+h)-f(x) h as much as possible: a.) f(x) = 2x + 7, b.)…

A:

Q: Find f"(3) if A) = (x- 3) (x² - 2). x): %3D a) -1 O b) 25 O d) -25

A:

Q: -B -2 4 3 2 WH + 2 --3- -4 Y 2

A:

Q: Q (1): Find fxyz for the function: = xe² + ye* + zey a) f(x, y, z) %3D

A:

Q: How many functions f: [6] to [4] have f(3)=2?

A: We have to find How many functions f: [6] to [4] have f(3)=2?

Q: 5. Lif f(x) = x3 + ax? + bx + c, determine the values of a, b, and c if f(x) switches from concave…

A: Given: f(x)=x3+ax2+bx+c Differentiate the function. f'(x)=ddxx3+ax2+bx+c=3x2+2ax+b Differentiate…

Q: 2) Show that the function f(x) = A x x - B is injection function. b. Find the inverse of the…

A: 2)  a.   The function f(x) is injection function.      b.   Inverse of the function f(x) is…

Q: For the function f(x) - 2r + 3z - ka + 2, where f passes through the point (1, – 2), what is the…

A:

Q: find 1- 2x f(x). 3 12). f(-2), f). fla), f(-а). f(la — 1)

A:

Q: Find three solutions for this function: X-4 f(x) = %3D 2х-8 O (( x, y):(1, – X0, 1)(1, –)} O ((x,…

A: The given function is:fx=x-42x-8

Q: Find f" if X+JJ = |

A:

Q: 69. f(x) Vх — 4 3.

A: The domain of function is the set of input or argument values for which the function is real and…

Q: 1. Let f(x) = x² and g(x) = 4x – 5. Find the following: (d) (f og)(x) (e) (go f)(x)

A:

Q: the function. 16) f(x) = [-x+3 ifx<2 2x-3 if x 22 A) 5 + X B) D) -5

A:

Q: Let f(x) = -8x². a) Find f(x + h): b) Find f(x + h) – S(x): c) Find x+h)-S(x). d) Find f'(x):

A: Given ,fx=-8x2 a) To find fx+h we just simply put x=x+h in fx, Therefore after putting this value ,…

Q: Let f(x) = 1 and g(x) +4. Then (fo g)(æ) (go f)(x) =

A: (f o g)(x) = x/6 (g o f)(x) =(4x -10)/(x-4)