Calculus Examples

$c (x) = 5 x^{3} + 10$ , $x (t) = 2 \sqrt{t + 1}$

Step 1

Set up the composite result function.

$x (c (x))$

Step 2

Evaluate $x (5 x^{3} + 10)$ by substituting in the value of $c$ into $x$ .

$x (5 x^{3} + 10) = 2 \sqrt{(5 x^{3} + 10) + 1}$

Step 3

Add $10$ and $1$ .

$x (5 x^{3} + 10) = 2 \sqrt{5 x^{3} + 11}$