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tmua.me Medium Set E Paper 1 · Q20

Paper 1Functions & graphs

The function ff is defined by

f(x)=2x+3x+2,x≠−2.f(x)=\frac{2x+3}{x+2},\qquad x\ne-2.

For which real values of xx is f(f(x))>1f(f(x))>1?

Ax>−53x>-\dfrac53
Bx<−74 or x>−53x<-\dfrac74\ \text{or}\ x>-\dfrac53
Cx<−2 or −2<x<−74 or x>−53x<-2\ \text{or}\ -2<x<-\dfrac74\ \text{or}\ x>-\dfrac53
D−74<x<−53-\dfrac74<x<-\dfrac53
Ex<−2 or −2<x<−74 or x≥−53x<-2\ \text{or}\ -2<x<-\dfrac74\ \text{or}\ x\geq-\dfrac53

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