Evaluate f(x) = x^2+3-4
For f(1/4)
To evaluate f(x) = x^2 + 3 - 4 for a particular value, f(1/4) in this case, we substitute the given value into the function and perform the necessary calculations.
So, to find f(1/4), we substitute x = 1/4 into the expression f(x) = x^2 + 3 - 4:
f(1/4) = (1/4)^2 + 3 - 4
Now, let's simplify the expression step by step:
(1/4)^2 = 1/16 (because (1/4)^2 is equal to 1/4 * 1/4 = 1/16)
Now we can substitute this back into the original expression:
f(1/4) = 1/16 + 3 - 4
Now, let's add the fractions:
1/16 + 3 = 49/16 (denominator commonization is required when adding fractions)
Now, we have:
f(1/4) = 49/16 - 4
To simplify, we need to have the same denominator:
49/16 = 49/16 * 1 (multiplying by 1 in the form of 16/16)
Therefore, we get:
f(1/4) = 49/16 - 64/16
Now, we can combine the fractions:
f(1/4) = (49 - 64)/16 = (-15)/16
Therefore, f(1/4) evaluates to -15/16.