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)) (A) Find (fcirc g)(4) f(x)=2x g(x)=3x+2 (fcirc g)(4)= square

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)) (A) Find (fcirc g)(4)
f(x)=2x
g(x)=3x+2
(fcirc g)(4)= square

)) (A) Find (fcirc g)(4) f(x)=2x g(x)=3x+2 (fcirc g)(4)= square

Solución

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Ivánveterano · Tutor durante 9 años
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To find $(f\circ g)(4)$, we need to evaluate the composition of the functions $f$ and $g$ at $x=4$.<br /><br />Given:<br />$f(x)=2x$<br />$g(x)=3x+2$<br /><br />The composition of the functions $f$ and $g$ is defined as $(f\circ g)(x) = f(g(x))$.<br /><br />Step 1: Evaluate $g(4)$.<br />$g(4) = 3(4) + 2 = 12 + 2 = 14$<br /><br />Step 2: Evaluate $f(g(4))$.<br />$f(g(4)) = f(14) = 2(14) = 28$<br /><br />Therefore, $(f\circ g)(4) = 28$.
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