Functions and Graphs

59%

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

\rightarrow e^{3x}, \quad x \in \mathbb{R}

\rightarrow 4x + \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]

59%

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

\rightarrow e^{3x}, \quad x \in \mathbb{R}

\rightarrow 4x + \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