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g(x)=4x−5g(x)=4x-5 dan (f∘g)(x)=4x−2(f \circ g)(x)=4x-2. Tentukan f(−3)f(-3):...

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Q. g(x)=4x−5g(x)=4x-5 dan (f∘g)(x)=4x−2(f \circ g)(x)=4x-2. Tentukan f(−3)f(-3):...
  1. Find g(−3)g(-3): First, we need to find g(−3)g(-3) since we're looking for f(g(−3))f(g(-3)).\newlineg(−3)=4(−3)−5g(-3) = 4(-3) - 5\newlineg(−3)=−12−5g(-3) = -12 - 5\newlineg(−3)=−17g(-3) = -17
  2. Calculate (fog)(−3)(fog)(-3): Now we know that (fog)(x)=f(g(x))(fog)(x) = f(g(x)). So, (fog)(−3)(fog)(-3) should equal f(g(−3))f(g(-3)).\newline(fog)(−3)=4(−3)−2(fog)(-3) = 4(-3) - 2\newline(fog)(−3)=−12−2(fog)(-3) = -12 - 2\newline(fog)(−3)=−14(fog)(-3) = -14
  3. Determine f(−3)f(-3): Since (f∘g)(−3)=f(g(−3))(f \circ g)(-3) = f(g(-3)), we have f(−17)=−14f(-17) = -14. So, f(−3)f(-3) is not what we're looking for, we need to find f(−17)f(-17). But we made a mistake, we should be looking for f(−3)f(-3) directly, not f(−17)f(-17).

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