Algebra Examples

$f (x) = 3 x - 1$ , $h (x) = - x + 1$

Step 1

Set up the composite result function.

$h (f (x))$

Step 2

Evaluate $h (3 x - 1)$ by substituting in the value of $f$ into $h$ .

$h (3 x - 1) = - (3 x - 1) + 1$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$h (3 x - 1) = - (3 x) + 1 + 1$

Step 3.2

Multiply $3$ by $- 1$ .

$h (3 x - 1) = - 3 x + 1 + 1$

Step 3.3

Multiply $- 1$ by $- 1$ .

$h (3 x - 1) = - 3 x + 1 + 1$

Step 4

Add $1$ and $1$ .

$h (3 x - 1) = - 3 x + 2$