Answer:
f(-3) = -3
Step-by-step 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.
[tex]f(x)=x^4+3x^3-x^2+6\\f(-3)=(-3)^4+3(-3)^3-(-3)^2+6[/tex]
Step 2: Apply the exponents. Make sure you remember to put in the -3 and not just 3.
[tex]f(-3)=81+3(-27)-9+6[/tex]
Step 3: Use BEDMAS rules to complete the calculation.
[tex]f(-3)=81-81-9+6[/tex]
[tex]f(-3)=-3[/tex]
Therefore the answer is f(-3) = -3.