5. a) Define the following with an example: i) Domain of a function ii) One – to – one function 4x +1 b) A function f is defined on the det of real numbers by f(x) 2x – 3 i) Write down the domain of f. ii) Show that fis a one – to – one function. - iii) Find the inverse of the function f. c) Given the function f(x) = x², g(x)= 3x – 4, find the composite function - gofl (where g • fl -1 means f-'followed 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: assume that f is an even function and g is an odd function. Both f and g are defined on the real…

A:

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)…

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Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: O De termine whether the functien is even, odd or niether: f(x)=- +9x5 find the inverse of the…

A: Part aGiven,            f(x) = -5x3 + 9x5

Q: Let R denote, as usual, the set of all real numbers. Consider the following two functions: f: R→ R…

A:

Q: (c) Let U be the set of natural numbers, A be the set positive odd integers and B be the positive…

A: Let's find.

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: Example 2: For f(x)=1/(x-1)²-3: a) Determine the inverse of f(x) and graph each relation. b) State…

A: Given  f(x)=12x-12-3 Here we need to draw a graph and find out the inverse For finding inverse we…

Q: Indicate if the function is bijective from R to R, f (x) = −3x + 4, justify your answer

A: Given f : R→R, f(x)=-3x+4 Here the function is linear function. f'(x)=-3<0 for all x∈R Which…