35 (Simplified)
First, we'll simplify the exponents:
3^2 = 9
3^2 = 9
Next, we'll calculate the multiplication and division:
4(9) - 1/9
Multiplying 4 by 9 gives us 36:
36 - 1/9
To subtract 1/9, we need a common denominator. The denominator of 9 is already 9, so we can rewrite it as:
36 - 1/9 = 36/1 - 1/9
Now, let's get a common denominator by multiplying the second fraction by 1 in the form of 9/9:
36/1 - 1/9 = 36/1 - 1/9 * 9/9
This simplifies to:
36/1 - 1/9 * 9/9 = 36/1 - 9/9
Subtracting the fractions gives us:
36/1 - 9/9 = 36/1 - 1/1
Now, we have a common denominator, so we can combine the fractions:
36/1 - 1/1 = (36 - 1)/1
Finally, we simplify the numerator:
(36 - 1)/1 = 35/1 = 35
Therefore, f(x) = 4(3)^2 - 1/3^2 simplifies to 35.
— ɴsᴜs ♑︎