(a) Which of the following are functions? If f is not a function explain why. i. f :R →R with f(x) = ii. f : Z → Z with f(x) = 5 ii. f :R →R with f (x) = In(x) (b) Let f : R →Rand g : R +R with f (x) = x + 2 and g(x) = -x. Find gof, (go f)-', f-1 and g- (c) Let f : R' → R with f(x) = , where R' is the set of all real numbers different from 0. i. Determine whether or not f is a one to one function ii. Determine whether or not f is an onto function

Q: Let f : Z+ → Z be the function defined by n – 10 (F(f(n+11)) otherwise if n > 100 f(n) What is the…

A: We will find f(99)

Q: 2x x - 3. a) Find the domain of the function: [-3, ∞0) (-∞0, 3] (-∞, 3) U (3, 0) (0, -3) U (-3,0) 2.…

A: According to bartleby guidelines we supposed to do the first subparts of multiple subparts kindly…

Q: Find functions f and g so that fo g=H. H(x) =x +4 Choose the correct pair of functions. OA. OB. f(x)…

A: Solution

Q: For what value of x is f ( x ) = 0 ? ( - 2, 0 ) ( 0, 2 ) ( 1, 5 ) ( 3, 6 )

A:

Q: 5. If f(2) = 5 and f (-1) = -4, find a and b in the function f(x) = ax + b

A:

Q: 1.) Given the function f(x,y)= 2+y=x² find and sketch the domain of f.

A:

Q: x+7, -4 h er. f(0) = 7. f(1) = 8, f(2) = -5, and f(3) = -10, of b

A:

Q: 3. Consider the relation f (x) = 2x² – 4. Find the f(x). Be sure to use proper notation.

A:

Q: XI. Refer to the functions f, g, and h defined here. f(x) = 1/x, g(x) = 2 vx, and h(x) = x2 -1…

A: Using rules of functions.

Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Q: 3) Evaluate the function for the given value of x. - 10, if xs6 a) h(1) c) h(-10) h(x) = (-x – 1,…

A: It direct putting value of x type question. Just we need to identify the correct piece

Q: Find and sketch the domain of the function. f(x, y) - In(4x2 - 4y²) y

A: