Determine f (a+h) for f (x) = 2x^3

f (a+h) = 2 (a+h) ³ = 2a³+6a²b+6ab²+2b³

Step-by-step explanation:

f (x) = 2x³

f (a+h) = 2 (a+h) ³

The question is not clear on how the answer should be presented ... but if you need to expand and simplify ... then:

f (a+h)

= 2 (a³+3a²b+3ab²+b³)

= 2a³+6a²b+6ab²+2b³