问题
选择题
函数的反函数y=2x+3(x≥0)的解析式为( )
A.y=log2(x-3),(x≥4)
B.y=log2x-3,(x≥4)
C.y=log2x-2,(x>3)
D.y=log2(x-2),(x>3)
答案
由y=2x+3(x≥0)得x=log2(y-3)且y≥4,
即:y=log2(x-3),x≥4,
所以函数y=2x+3的反函数是y=log2(x-3)(x≥4)
故选A.
函数的反函数y=2x+3(x≥0)的解析式为( )
A.y=log2(x-3),(x≥4)
B.y=log2x-3,(x≥4)
C.y=log2x-2,(x>3)
D.y=log2(x-2),(x>3)
由y=2x+3(x≥0)得x=log2(y-3)且y≥4,
即:y=log2(x-3),x≥4,
所以函数y=2x+3的反函数是y=log2(x-3)(x≥4)
故选A.