Question

If f(x)=x^4+3x^3-x^2+6, find f(-3).

Answer 1

f(-3) = -3

Explanation:

Step 1: f(x) means "f of x" and f(-3) means "f of -3", so you have to replace all the "x" letters in the function with the value -3.

`f(x)=x^4+3x^3-x^2+6\\f(-3)=(-3)^4+3(-3)^3-(-3)^2+6`

Step 2: Apply the exponents. Make sure you remember to put in the -3 and not just 3.

`f(-3)=81+3(-27)-9+6`

Step 3: Use BEDMAS rules to complete the calculation.

`f(-3)=81-81-9+6`

`f(-3)=-3`

Therefore the answer is f(-3) = -3.