Question

已知f（x）=(4^x)/(4^x+2) (1）求证：函数y=f（x）的图像关于（1/2.1/2）对称

Answer 1

f(x)+f(1-x)

=4^x/(4^x+2)+4^(1-x)/[4^(1-x)+2]

=4^x/(4^x+2)+(4/4^x)/[(4/4^x)+2]

=4^x/(4^x+2)+4/(4+2*4^x)

=4^x/(4^x+2)+2/(2+4^x)

=(4^x+2)/(4^x+2)

=1

后边的就好做了