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10 Multiple Choice 1 point For functions f(x)=6x^2 and g(x)=x+5 find (fcirc g)(x) 6x+5x^2 6x^2+5 6x^2+60x+150 180 Clear my selection

Problemas

10
Multiple Choice 1 point
For functions f(x)=6x^2 and g(x)=x+5 find (fcirc g)(x)
6x+5x^2
6x^2+5
6x^2+60x+150
180
Clear my selection

10 Multiple Choice 1 point For functions f(x)=6x^2 and g(x)=x+5 find (fcirc g)(x) 6x+5x^2 6x^2+5 6x^2+60x+150 180 Clear my selection

Solución

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Marthaélite · Tutor durante 8 años
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To find $(f\circ g)(x)$, we need to substitute $g(x)$ into $f(x)$.<br /><br />Given:<br />$f(x) = 6x^2$<br />$g(x) = x + 5$<br /><br />$(f\circ g)(x) = f(g(x))$<br /><br />Substitute $g(x)$ into $f(x)$:<br />$(f\circ g)(x) = f(x + 5) = 6(x + 5$<br /><br />Expand the expression:<br />$(f\circ g)(x) = 6(x^2 + 10x + 25) = 6x^2 + 60x + 150$<br /><br />Therefore, the correct answer is:<br />$6x^2 + 60x + 150$
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