Trigonometry Examples

f (x) = 3 x - 4

$f (x) = 3 x - 4$ ,

g (x) = x + 2

$g (x) = x + 2$

Step 1

Set up the composite result function.

f (g (x))

$f (g (x))$

Step 2

Evaluate

f (x + 2)

$f (x + 2)$ by substituting in the value of

g

$g$ into

f

$f$ .

f (x + 2) = 3 (x + 2) - 4

$f (x + 2) = 3 (x + 2) - 4$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Apply the distributive property.

f (x + 2) = 3 x + 3 \cdot 2 - 4

$f (x + 2) = 3 x + 3 \cdot 2 - 4$

Step 3.2

Multiply

3

$3$ by

2

$2$ .

f (x + 2) = 3 x + 6 - 4

$f (x + 2) = 3 x + 6 - 4$

f (x + 2) = 3 x + 6 - 4

$f (x + 2) = 3 x + 6 - 4$

Step 4

Subtract

4

$4$ from

6

$6$ .

f (x + 2) = 3 x + 2

$f (x + 2) = 3 x + 2$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$