IB Maths AA HL AA 2.3 practice question

Paper 1, no calculatorEasy6 marks

Consider the functions

f(x)=\frac1x,\quad x\ne 0, \qquad g(x)=\frac{2x+3}{x-1},\quad x\ne 1.

(a)

Write down $f^{-1}(x)$

[1]

(b)

State the equations of the vertical and horizontal asymptotes of the graph of $y=g(x)$

[2]

(c)

Sketch the graph of $y=g(x)$ showing both asymptotes and all intercepts with the coordinate axes.

[3]