AP EAMCET2006MathematicsFunctions

If f: R R is defined by f(x)= array ccc x+4 & for & x

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Step-by-step solution

f(x)= array ccc x+4, & for & x < -4 3 x+2, & for & -4 x < 4 x-4, & for & x 4 array . (A) f(-5)+f(-4)=(-5+4)+(3(-4)+2)=-1+(-12+2)=-1-10=-11 (B) f(|f(-8)|)=f(|-8+4|)=f(4)=4-4=0 (C) f(f(-7)+f(3))=f(-7+4+9+2)=f(8)=8-4=4 (D) f(f(f(f(0))))+1=f(f(f(2)))+1=f(f(6+2))+1=f(f(8))+1=f(8-4)+1=f(4)+1=4-4+1=1

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