3.1.4 Algebra and functions (A-level only)

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

\rightarrow e^x, \quad x \in \mathbb{R}

\rightarrow 2x + \ln x, \quad x \in \mathbb{R}, x > 0

a.

Write down the range of $f$

[1]

b.

Find an expression for the composite function $g f$

[2]

c.

Write down the range of $g f$

[1]

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

\rightarrow e^x, \quad x \in \mathbb{R}

\rightarrow 2x + \ln x, \quad x \in \mathbb{R}, x > 0

a.

Write down the range of $f$

[1]

b.

Find an expression for the composite function $g f$

[2]

c.

Write down the range of $g f$

[1]

3.1.4 Algebra and functions (A-level only) Questions