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blsea [12.9K]
1 year ago
11

Let F(x)=3x-1 and g(x)=×+2. Findf(g(x)) and g(f(x))

Mathematics
1 answer:
Fofino [41]1 year ago
7 0

Solution:

Given:

\begin{gathered} f(x)=3x-1 \\ g(x)=x+2 \end{gathered}

To find f(g(x)):

\begin{gathered} f(g(x))\text{ means substitute g\lparen x\rparen into f\lparen x\rparen} \\ f(g(x))=3(x+2)-1 \\ f(g(x))=3x+6-1 \\ f(g(x))=3x+5 \end{gathered}

Therefore, f(g(x)) = 3x + 5

To find g(f(x)):

\begin{gathered} g(f(x))\text{ means substitute f\lparen x\rparen into g\lparen x\rparen} \\ g(f(x))=(3x-1)+2 \\ g(f(x))=3x-1+2 \\ g(f(x))=3x+1 \end{gathered}

Therefore, g(f(x)) = 3x + 1

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Answer:

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Evaluate ∫ e3x cosh 2x dx A. 1/2e5x + 1/2ex + C B. 1/10e5x + 1/5 x + C C. 1/10e5x + 1/2ex + C D. 1/4e3x + 1/2 x + C
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∫ e^(3x)*(cosh(2x)dx

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Answer:

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