(a) Let A and B be any two sets. Say what it means for a function f : A → B to be surjective (give the definition). What is meant by the image of the function f? (b) Consider the function f : R\ {3} → R\{5} 5х + 4 xH f(x) : (i) Show that f is surjective. (ii) Find a formula for the inverse function f-1. (iii) Find x ER satisfying f(x) = 1.

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A: (a) f∘g2=fg2=f2=0 Hence the answer.

Q: 10 For each point on a function, state the corresponding point on the inverse relation. a) (1, 2) b)…

A:

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A: According to question,Given One to One function,Domain D =-∞, ∞Range R = (-∞, 3]

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A: Given graph

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A: To evaluate the function (a) ( f ∘ g)(1). (b) (g ∘ f )(3).

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A:

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A: I am solving it in step 2

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Q: Use the graphs of f and g to evaluate the functions. (a) (f.g)(1) (b) (g. f)(3) A 3 2 1 X y = f(x) 1…

A:

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A:

Q: Use the function f(r) given below to answer the questions that follow. f(r) = – 2(r+1)(r – 3) (r –…

A: The given function f(r)=-2r+1r-33(r-1)