Functions and Graphs

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

\rightarrow e^{2x+1}, \quad x \in \mathbb{R}

\rightarrow 2x + 3\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^{2x+1}, \quad x \in \mathbb{R}

\rightarrow 2x + 3\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]

Functions and Graphs Questions