| Exam Board | Edexcel |
|---|
| Module | PMT Mocks (PMT Mocks) |
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| Topic | Composite & Inverse Functions |
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10. The functions f and g are defined with their respective domains by
$$\begin{array} { l l l }
\mathrm { f } ( x ) = 4 - x ^ { 2 } & x \in R & x \geq 0
\mathrm {~g} ( x ) = \frac { 2 } { x + 1 } & x \in R & x \geq 0
\end{array}$$
a. Write down the range of f .
b. Find the value of \(\mathrm { fg } ( 3 )\)
c. Find \(\mathrm { g } ^ { - 1 } ( x )\)