find the following
if x =x^2+2
f(3/2) 4.24
f(b) 0
did I do this right
Thank you
f(3/2) = (3/2)^2 + 2 = 9/4 + 2 = 4.25
f(b) = b^2+2
how did you get zero?
thank you Steve
To find the values of f(3/2) and f(b), we need to substitute the given values into the equation x = x^2 + 2.
1. Calculate f(3/2):
To find f(3/2), replace x with 3/2 in the equation:
3/2 = (3/2)^2 + 2
Simplifying the equation:
3/2 = 9/4 + 2/1
To add the fractions, we need the same denominator:
3/2 = 9/4 + 8/4
Combining the fractions:
3/2 = 17/4
To convert the mixed number to decimal form, divide the numerator by the denominator:
3/2 = 4.25
Therefore, f(3/2) is equal to 4.25 (not 4.24).
2. Calculate f(b):
To find f(b), replace x with b in the equation:
b = b^2 + 2
To solve this equation, we need more information or values assigned to b. Without any additional details, we cannot determine the value of f(b).
So, you did the calculation of f(3/2) correctly, and the result is 4.25. However, we cannot determine the value of f(b) without additional information or a value assigned to b.