Find the derivative of (f*g)(x), where f ( x ) = x + 2 and g ( x ) = ln ⁡ ( x + 3 ).

Set up the composite result function.f(g(x))Evaluate&nbsp;f(ln(x+3))&nbsp;by substituting in the value of&nbsp;g&nbsp;into&nbsp;f.f(ln(x+3))=(ln(x+3))+2Remove parentheses.f(ln(x+3))=ln(x+3)+2

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Alaina Holt

Answered question

2022-04-10

Find the derivative of (f*g)(x), where

f (x) = \sqrt{x + 2}

and

g (x) = \ln (x + 3)

Answer & Explanation

Emmy Sparks

Beginner2022-04-11Added 17 answers

Set up the composite result function.

$f (g (x))$

Evaluate $f (\ln (x + 3))$ by substituting in the value of $g$ into $f$ .

$f (\ln (x + 3)) = \sqrt{(\ln (x + 3)) + 2}$

Remove parentheses.

$f (\ln (x + 3)) = \sqrt{\ln (x + 3) + 2}$

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