Calculus Examples

$h (n) = 7 - 3 n$ , $p (n) = n^{2} - 6$

Step 1

Set up the composite result function.

$h (p (n))$

Step 2

Evaluate $h (n^{2} - 6)$ by substituting in the value of $p$ into $h$ .

$h (n^{2} - 6) = 7 - 3 (n^{2} - 6)$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$h (n^{2} - 6) = 7 - 3 n^{2} - 3 \cdot - 6$

Step 3.2

Multiply $- 3$ by $- 6$ .

$h (n^{2} - 6) = 7 - 3 n^{2} + 18$

Step 4

Add $7$ and $18$ .

$h (n^{2} - 6) = - 3 n^{2} + 25$