Inverse and Composite Functions

The function $f\,$ is defined such that

f (x) = 3 x + 5

a.

Find $f^{-1}(x)$

[2]

b.

The function $g\,$ is defined such that $g(x) = kx^2$ where $k\,$ is a constant. Given that $f g (3) = 41$ , work out the value of $k$ .

[2]

The function $f\,$ is defined such that

f (x) = 3 x + 5

a.

Find $f^{-1}(x)$

[2]

b.

The function $g\,$ is defined such that $g(x) = kx^2$ where $k\,$ is a constant. Given that $f g (3) = 41$ , work out the value of $k$ .

[2]

Inverse and Composite Functions Questions