12. The value of \( t \) is given by \( t=2 \pi \sqrt{\left(\frac{2.31^{2}+0.9^{2}}{2.31 \times 9.81}\right)} \) Without using a calculator, and using suitable approximate values for the numbers in the formula, find an estimate for the value of \( t \). (To earn th marks in this question you must show the various stages of your working.)

What is the range of the inverse function for the function \( f(x) = \sqrt{x - 4} + 1 \)?

UESTION 3 he equation of a hyperbola is given by \( f(x)=\frac{3}{x-7}-4 \). Srite down the equation of the new function that is formed when \( f \) is transformed as follows: .1 Shift two units to the left .3 Shift 3 units up 1 unit right and 2 units down .4 The equation of the new hyperbola has new asymptotes at \( x=-4 \) and \( y=-1 \)

إذا كانت الدالة \( f(x) = \sqrt{x - 1} \)، فما هو مجال الدالة المعكوسة؟

UESTION 4 ketch on the same set of axes the graphs of \( f(x)=-2 x^{2}-4 x+6 \) and \( g(x)=-2 \cdot 2^{x-1}+1 \). learly indicate all intercepts with the axes, turning point(s) and asymptote(s).

UESTION 3 he equation of a hyperbola is given by \( f(x)=\frac{3}{x-7}-4 \). Srite down the equation of the new function that is formed when \( f \) is transformed as follows: \( 1 \quad \) Shift two units to the left \( 2 \quad \) Shift 3 units up