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2.已知偶函數(shù)y=loga 在(-,0)上遞增,則a、b分別滿足( )
A.a(chǎn)>1, b>0 B.a>1,bR C.0<a<1,b=0 D.a(chǎn)>1,b=0
聯(lián)想:(1)函數(shù)y=f(x)=log(2x+1)在(-)上是單調(diào)遞增函數(shù),則實(shí)數(shù)a的取值范圍是___________________.
(2)已知函數(shù)f(x)=loga(x-k)的圖象過點(diǎn)(4,0),又反函數(shù)的圖象過點(diǎn)(1,7),則f(x)是( )
A.增函數(shù) B.減函數(shù) C.奇函數(shù) D.偶函數(shù)
(3)已知f-1(x)是f(x)的反函數(shù),f(x)過點(diǎn)(4,1),則f-1(x+3)必過點(diǎn)
A.(1,4) B.(4,-2) C.(-2,4) D.(4,1)
(4)函數(shù)f(x)=a+bx-1(b>0且b≠1)的圖象過點(diǎn)(1,3),f-1(x+a)(x>0)的圖象過點(diǎn)(4,2),則
f-1(x)=_______________________.