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1.2.22 Inverse and composite functions (A-level only)

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Question 22

The functions f f\,f and g g\,g are defined by

f:x→ex,x∈R f: x \rightarrow e^x, \quad x \in \mathbb{R} f:x→ex,x∈R g:x→2x+ln⁡x,x∈R,x>0 g: x \rightarrow 2x + \ln x, \quad x \in \mathbb{R}, x > 0 g:x→2x+lnx,x∈R,x>0
a.

Write down the range of fff

[1]
b.

Find an expression for the composite function gfgfgf

[2]
c.

Write down the range of gfgfgf

[1]

1.2.22 Inverse and composite functions (A-level only) Questions

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