Algebra Examples

$f (x) = 4 x - 7$ , $g (x) = \frac{1}{4} (x + 7)$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (4 x - 7)$ by substituting in the value of $f$ into $g$ .

$g (4 x - 7) = \frac{1}{4} \cdot ((4 x - 7) + 7)$

Step 3

Combine the opposite terms in $(4 x - 7) + 7$ .

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Step 3.1

Add $- 7$ and $7$ .

$g (4 x - 7) = \frac{1}{4} \cdot (4 x + 0)$

Step 3.2

Add $4 x$ and $0$ .

$g (4 x - 7) = \frac{1}{4} \cdot (4 x)$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Factor $4$ out of $4 x$ .

$g (4 x - 7) = \frac{1}{4} \cdot (4 (x))$

Step 4.2

Cancel the common factor.

$g (4 x - 7) = \frac{1}{4} \cdot (4 x)$

Step 4.3

Rewrite the expression.

$g (4 x - 7) = x$