Finite Math Examples

$f (x) = 4 x - 1$ , $g (x) = x^{2} + 1$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x^{2} + 1)$ by substituting in the value of $g$ into $f$ .

$f (x^{2} + 1) = 4 (x^{2} + 1) - 1$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$f (x^{2} + 1) = 4 x^{2} + 4 \cdot 1 - 1$

Step 3.2

Multiply $4$ by $1$ .

$f (x^{2} + 1) = 4 x^{2} + 4 - 1$

Step 4

Subtract $1$ from $4$ .

$f (x^{2} + 1) = 4 x^{2} + 3$