If f is continuous at x = 0 and f(x) = 2(√x^3 + 1) + a, for x < 0

Question

If f is continuous at x = 0 and

\(f(x) = 2\sqrt{x^3 + 1} + a,\) for x < 0

f(x) = 2(√x³ + 1) + a, for x < 0

= x³ + a + b, for x ≥ 0

and f(1) = 2, then find a, b.

Answer 1

f(x) = 2(√x³ + 1) + a

Given, f is continuous at x = 0