若函数 $f\left(x\right)$的零点与 $g\left(x\right)=4^x+2x-2$的零点之差的绝对值不超过0.25， 则 $f\left(x\right)$可以是(     )

A．	$f\left(x\right)=4x-1$	B．	$f\left(x\right)=(x-1{)}^2$
C．	$f\left(x\right)=e^x-1$	D．	$f\left(x\right)=\ln (x-\frac{1}{2})$