Best solutions to - "With f ( x ) = e 4..."

Brody Collins

Answered question

2022-04-10

With

f (x) = e^{4 x + 1}

and

g (x) = 7 x^{2} + 5

, find the derivative of the compostion f(g(x)).

HowOPpodopgtk3

Beginner2022-04-11Added 20 answers

Set up the composite result function.

$f (g (x))$

Evaluate $f (7 x^{2} + 5)$ by substituting in the value of $g$ into $f$ .

$f (7 x^{2} + 5) = e^{4 (7 x^{2} + 5) + 1}$

Simplify each term.

$f (7 x^{2} + 5) = e^{28 x^{2} + 20 + 1}$

Add $20$ and $1$ .

$f (7 x^{2} + 5) = e^{28 x^{2} + 21}$

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