Helton L. answered 08/24/23
Ph.D. in Mathematics, Extensive exp Teaching/Tutoring in the US
Hi, Alia!
The key here is to substitute 5 into x, and remember the order of operations using PEMDAS:
- Parentheses
- Exponents
- Multiplication and Division
- Addition and Subtraction
SO, we have
f(x)=3x2-5
Substitute x=5 to get
f(5) = 3·52-5
There are no Parentheses, so we resolve the Exponent first. 5 squared equals 25.
f(5) = 3·25-5
Next, Multiplication. 3 times 25 equals 75.
f(5) = 75-5
Lastly, since there is no Division, we go to Addition/Subtraction. 75 minus 5 is 70, and that is the final answer.
f(5) = 70.
Hope this helped!