Final answer:
To solve each equation, substitute the given value of x into the function f(x) and perform the calculations. That way, we can find the value of f(x) at the given x.
Step-by-step explanation:
To solve each equation, substitute the given value of x into the function f(x) and perform the calculations.
A.
f(x) = -2x^3 + 1/x^2
f(-1) = -2(-1)^3 + 1/(-1)^2
f(-1) = -2(-1) + 1/1
f(-1) = 2 + 1
f(-1) = 3
B.
f(x) = x^4 - 3x^3 + 2x^2 - 6
f(2) = (2)^4 - 3(2)^3 + 2(2)^2 - 6
f(2) = 16 - 3(8) + 2(4) - 6
f(2) = 16 - 24 + 8 - 6
f(2) = -6
C.
f(x) = x - 1/x^2
f(1) = 1 - 1/(1)^2
f(1) = 1 - 1/1
f(1) = 1 - 1
f(1) = 0
D.
f(x) = x^3 + √x
f(4) = (4)^3 + √(4)
f(4) = 64 + 2
f(4) = 66
E.
f(x) = -1/3x^3 + √(8x)
f(2) = -1/3(2)^3 + √(8(2))
f(2) = -1/3(8) + √16
f(2) = -8/3 + 4
f(2) = -8/3 + 12/3
f(2) = 4/3