8. Decide if the following functions are onto. Prove your answers. (a) f(x) = x³ – 1 - (b) g(x) = 2x + 4

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

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

Q: 3. Determine if the following functions are one-one. Explain why. •f: R R f(x) = (x - 2)² ● f:R R…

A: one- one function :Let f be a function which is one one if        x1≠x2   ⇒  f(x1) ≠ fx2 for every…

Q: 8. Find f-1 (x) for f (x) = 2-4

A:

Q: For which a is each of the following functions defined 2x – 3 (a) f(x) = (b) 1 g(x) = 3x + 2 4.x + 5

A:

Q: 18. Which of the following functions has a graph that opens upward? A. f (x) = (x – 7)² – 3 B. f (x)…

A:

Q: 4. Evaluate the functionf(x) = x² + 1 and g(x) = x - 4. Find a. (fᵒg)(3) b. (gᵒf)(1)

A:

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

A:

Q: (x2 – 4x lx + 2 if x > 2 2. Let f(x) = f(x) = find f (5). %3D %3D if x < 2

A: This question is related to functions, We will solve it using given information.

Q: ain of f+g, f-g, fg and

A: As per the bartleby guidelines for more than three parts only three has to be solved. Please upload…

Q: Consider the function f(x) = -x + b, where b is a constant, and find the following. a. f(f(0)) b.…

A:

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

A:

Q: Find the following. Let f(x)= x+1, g(x)= 2x, and h(x)=x-2. a. (h o h) (x) b. (f o g) (x) c. (g o h)…

A:

Q: 7. Decide if the following functions are one-to-one. Prove your answers.. (a) f(x) = x² – 1 (b) g(x)…

A: An injective or one one function is a function f that maps distinct elements to distinct elements;…

Q: In each of the following, determine whether

A: We have to decide whether y is a function of x or not.