Evaluate Using the Given Value f(7)=3/(7+2)- square root of 7-2

$f (7) = \frac{3}{7 + 2} - \sqrt{7 - 2}$

Step 1

Add $7$ and $2$ .

$f (7) = \frac{3}{9} - \sqrt{7 - 2}$

Step 2

Cancel the common factor of $3$ and $9$ .

Factor $3$ out of $3$ .

$f (7) = \frac{3 (1)}{9} - \sqrt{7 - 2}$

Cancel the common factors.

Factor $3$ out of $9$ .

$f (7) = \frac{3 \cdot 1}{3 \cdot 3} - \sqrt{7 - 2}$

Cancel the common factor.

$f (7) = \frac{3 \cdot 1}{3 \cdot 3} - \sqrt{7 - 2}$

Rewrite the expression.

$f (7) = \frac{1}{3} - \sqrt{7 - 2}$

Step 3

Subtract $2$ from $7$ .

$f (7) = \frac{1}{3} - \sqrt{5}$