Functions Structured Questions | Cambridge O Level Additional Mathematics

Question 1 of 8 · 6 marks

Functions · 1 - Function mappings & domain restrictions

3 parts

Additional Mathematics 4037 · Question 1Paper 2 · Calculator[6 marks]

The functions $f$ and $g$ are defined for $x \in \mathbb{R}$ by: $f(x) = 3x - 2, \quad g(x) = x^2 + 1$

(a)

State, with a reason, whether $g$ is a one-one or a many-one function on the domain $x \in \mathbb{R}$ .

[2]

(b)

Find the image of $-3$ under the function $f$ .

[1]

(c)

Solve the equation $fg(x) = 25$ .

[3]