Algebra Examples

$f (x) = x^{3} + 5 x$ $g (x) = \sqrt{7 x}$ $h (x) = 7 x - 1 (h \cdot f) \cdot - 2$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x^{3} + 5 x)$ by substituting in the value of $f$ into $g$ .

$g (x^{3} + 5 x) = \sqrt{7 (x^{3} + 5 x)}$

Step 3

Factor $x$ out of $x^{3} + 5 x$ .

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Step 3.1

Factor $x$ out of $x^{3}$ .

$g (x^{3} + 5 x) = \sqrt{7 (x \cdot x^{2} + 5 x)}$

Step 3.2

Factor $x$ out of $5 x$ .

$g (x^{3} + 5 x) = \sqrt{7 (x \cdot x^{2} + x \cdot 5)}$

Step 3.3

Factor $x$ out of $x \cdot x^{2} + x \cdot 5$ .

$g (x^{3} + 5 x) = \sqrt{7 (x (x^{2} + 5))}$

$g (x^{3} + 5 x) = \sqrt{7 x (x^{2} + 5)}$