Algebra Examples

$f (x) = \frac{x - 7}{8}$ , $g (x) = 8 x + 7$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (8 x + 7)$ by substituting in the value of $g$ into $f$ .

$f (8 x + 7) = \frac{(8 x + 7) - 7}{8}$

Step 3

Simplify the numerator.

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Step 3.1

Subtract $7$ from $7$ .

$f (8 x + 7) = \frac{8 x + 0}{8}$

Step 3.2

Add $8 x$ and $0$ .

$f (8 x + 7) = \frac{8 x}{8}$

Step 4

Cancel the common factor of $8$ .

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Step 4.1

Cancel the common factor.

$f (8 x + 7) = \frac{8 x}{8}$

Step 4.2

Divide $x$ by $1$ .

$f (8 x + 7) = x$