Trigonometry Examples

$f (x) = 6 x + 10$ , $g (x) = 5 x - 1$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (6 x + 10)$ by substituting in the value of $f$ into $g$ .

$g (6 x + 10) = 5 (6 x + 10) - 1$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$g (6 x + 10) = 5 (6 x) + 5 \cdot 10 - 1$

Step 3.2

Multiply $6$ by $5$ .

$g (6 x + 10) = 30 x + 5 \cdot 10 - 1$

Step 3.3

Multiply $5$ by $10$ .

$g (6 x + 10) = 30 x + 50 - 1$

Step 4

Subtract $1$ from $50$ .

$g (6 x + 10) = 30 x + 49$