Algebra Examples

$f (x) = 7 x + 11$ $g (x) = - 2 + 3$ $h (x) = 3 x^{2} + 1$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (- 2 + 3)$ by substituting in the value of $g$ into $f$ .

$f (- 2 + 3) = 7 (- 2 + 3) + 11$

Step 3

Simplify each term.

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Step 3.1

Add $- 2$ and $3$ .

$f (- 2 + 3) = 7 \cdot 1 + 11$

Step 3.2

Multiply $7$ by $1$ .

$f (- 2 + 3) = 7 + 11$

Step 4

Add $7$ and $11$ .

$f (- 2 + 3) = 18$