If f:A→rarr B defined by f(x)=sinx-cosx+3√2 is an invertible function, then the correct statement can be

a. A = [π/4, 5π/4], B= [3√2, 4√2]
b. A = [-π/4, 5π/4], B= [2√2, 4√2]
c. A = [-π/4, 3π/4], B= [√2, 4√2]
d. A = [-π/4, 3π/4], B= [2√2, 4√2]