Question

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

Answer 1

Answer:

Solution,

f(x) = $x^{3}$ + 1

Put x = x - 3,

f(x - 3) =  $(x-3)^{3}$ + 1

Now,

g(x) = f(x - 3) + 1

or, g(x) =[ $(x-3)^{3}$ +1 ] + 1

or, g(x) = $x^{3} -9x^{2} + 27x - 1 + 1+1$

or, g(x) = $x^{3} - 9x^{2} +27x + 1$