if f(x)=x^2+2, find the following, f(-3), f(3/2), f(b)
Thank you
f(x) = x^2 + 2
f(-3) = (-3)^2 + 2
= 9+2 = 11
notice that I substituted x with the given value of x
wherever I saw an x
do the others the same way
Thank you very much for your help, it is greatly appreciated and thank you for giving you time.
To find the values of f(-3), f(3/2), and f(b) for the given function f(x) = x^2 + 2, you need to substitute the respective values into the function.
1. f(-3):
To find f(-3), substitute -3 into the function:
f(-3) = (-3)^2 + 2
= 9 + 2
= 11
Therefore, f(-3) = 11.
2. f(3/2):
For f(3/2), substitute 3/2 into the function:
f(3/2) = (3/2)^2 + 2
= 9/4 + 2
= 9/4 + 8/4
= 17/4
Therefore, f(3/2) = 17/4.
3. f(b):
To find f(b), substitute b into the function:
f(b) = b^2 + 2
Therefore, f(b) = b^2 + 2.
Note that f(b) cannot be simplified further unless the value of b is known.
In summary:
- f(-3) = 11
- f(3/2) = 17/4
- f(b) = b^2 + 2