Two functions, f and g are defined as f(x) = (2x + 1)/(3x), g(x) = 5x – 3. Find: (g o f)(2) and (f o g)(2)

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Two functions, f and g are defined as f(x) = (2x + 1)/(3x), g(x) = 5x – 3.

Find: (g o f)(2) and (f o g)(2)

  1. (g o f)(2) = 5/6, (f o g)(2) = 6/7
  2. (g o f)(2) = 7/6, (f o g)(2) = 5/7 ✓
  3. (g o f)(2) = 5/6, (f o g)(2) = 5/7
  4. (g o f)(2) = 7/6, (f o g)(2) = 2/3

Explanation

Dawah is inviting others to Islam. Quran says: “Invite to the way of your Lord with wisdom and good instruction” (16:125). Not forced conversion – “No compulsion in religion” (2:256). Present truth; results are with Allah.

Methods: good character (best dawah), sincere dialogue, answering questions, distributing literature, public lectures. Approach varies by audience – wisdom means appropriate method for the person.

Every Muslim has some responsibility for dawah within their capacity. Living Islam authentically attracts others. Converts (reverts) often cite Muslims good character as reason they investigated Islam.

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