Question

Write the equation of the function g(x) if g(x) = f(x – 3) +1 and f(x) = x3 + 1.

Answer 1

we can find the value of f (x-3) by putting x-3 in place of x in f (x)
therefore,
f (x-3)=(x-3)3 + 1
by putting the value of f (x-3) in g (x)
g (x)= (x-3)3 + 1 +1
= (x-3)3 + 2