Finite Math Examples

$f (x) = \frac{\sqrt{- 8 + 8} + \sqrt{2}}{- 8 + 9}$ , $g (x) = 8^{2} - 5$ , $(g \circ f)$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\frac{\sqrt{- 8 + 8} + \sqrt{2}}{- 8 + 9})$ by substituting in the value of $f$ into $g$ .

$g (\frac{\sqrt{- 8 + 8} + \sqrt{2}}{- 8 + 9}) = 8^{2} - 5$

Step 3

Raise $8$ to the power of $2$ .

$g (\frac{\sqrt{- 8 + 8} + \sqrt{2}}{- 8 + 9}) = 64 - 5$

Step 4

Subtract $5$ from $64$ .

$g (\frac{\sqrt{- 8 + 8} + \sqrt{2}}{- 8 + 9}) = 59$