5. а) Define the following with an example: i) Domain of a function ii) One – to – one function 4x+1 A functionfis defined on the det of real numbers by f(x)=- 2х -3 b) i) Write down the domain of f. ii) Show that fis a one – to – one function. iii) Find the inverse of the function f. Given the function MX) = x², g(x) = 3x – 4, find the composite function gof-' (where gof*'means flfollowed by g)

Q: Use the table to answer parts a) and b) about the function f(x). x f(x) -85 -2 7 29 6 2 a) Evaluate…

A: Given table xf( x )-85-272962

Q: Example 4: a) Find the inverse of the function f(x) = 2(x + 4) - 6 b) How would your answer to a)…

A: I am attaching image so that you understand each and every step.

Q: B Evaluate the piecewise function f at the given x-values. Write the answer using function notation…

A: In the given graph, the bold line indicates the function. The open circle is not included in the…

Q: Each function f is defined as f :R +R. Prove why each of the functions is one to one or not c one.…

A: We will check the one to one of these functions

Q: If the function is one-to-one, find its inverse. If not, write "not one-to-one." 12) f(x)= 2 X-5 A)…

A:

Q: 44) Use the functions defined below to answer the following questions. f(x) g(x) 5 1 8 2 -2 3 8 -7 X…

A:

Q: 14) a) Find the inverse of the following one-to-one function and state your answer using proper…

A: Inverse function.

Q: Consider the function f(x) = 2x - 1/ x+3…

A:

Q: Consider the function: g(x) = with the domain R\(9} (i.e. all real numbers except 9) and the image…

A: We use the definition of the inverse of a function to find the inverse of g(x).