Algebra Examples

$f (x) = 2 x - 7$ , $g (x) = \frac{x + 7}{2}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (\frac{x + 7}{2})$ by substituting in the value of $g$ into $f$ .

$f (\frac{x + 7}{2}) = 2 (\frac{x + 7}{2}) - 7$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Cancel the common factor.

$f (\frac{x + 7}{2}) = 2 (\frac{x + 7}{2}) - 7$

Step 3.2

Rewrite the expression.

$f (\frac{x + 7}{2}) = x + 7 - 7$

Step 4

Combine the opposite terms in $x + 7 - 7$ .

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Step 4.1

Subtract $7$ from $7$ .

$f (\frac{x + 7}{2}) = x + 0$

Step 4.2

Add $x$ and $0$ .

$f (\frac{x + 7}{2}) = x$