Question

The function $f(x)$ is defined as $f(x) = \sin x$ ($x$ measured in radians) and $g(x)$ is defined as $g(x) = \frac{3x - 2}{5}$. Find: a) $g(f(\frac{\pi}{3}))$ b) $f(2x)$ c) $f(g(x))$ d) $g^{-1}(x)$ Question 2 (6 marks) A body fired vertically upwards from a raised platform has it's height $h$ in metres at time $t$ seconds given by the function $h(t) = 2.5 + 150t - 1.9t^2$ a) What is the highest point that the body reaches and at what time does this occur? (Do not use calculus for this part.) b) What is the height of the platform? Question 3 (6 marks) Find the partial fraction decomposition of $\frac{5x - 2}{x^2 - 4}$ Question 4 (6 marks)

          The function $f(x)$ is defined as $f(x) = \sin x$ ($x$ measured in radians) and $g(x)$ is defined as $g(x) = \frac{3x - 2}{5}$.
Find:
a) $g(f(\frac{\pi}{3}))$ 
b) $f(2x)$ 
c) $f(g(x))$ 
d) $g^{-1}(x)$
Question 2 (6 marks)
A body fired vertically upwards from a raised platform has it's height $h$ in metres at time $t$ seconds given by the
function
$h(t) = 2.5 + 150t - 1.9t^2$
a) What is the highest point that the body reaches and at what time does this occur? (Do not use calculus for
this part.)
b) What is the height of the platform?
Question 3 (6 marks)
Find the partial fraction decomposition of $\frac{5x - 2}{x^2 - 4}$
Question 4 (6 marks)

$The function f(x) is defined as f(x) = sin x (x measured in radians) and g(x) is defined as g(x) = (3x - 2)/(5). Find: a) g(f((π)/(3))) b) f(2x) c) f(g(x)) d) g^-1(x) Question 2 (6 marks) A body fired vertically upwards from a raised platform has it's height h in metres at time t seconds given by the function h(t) = 2.5 + 150t - 1.9t^2 a) What is the highest point that the body reaches and at what time does this occur? (Do not use calculus for this part.) b) What is the height of the platform? Question 3 (6 marks) Find the partial fraction decomposition of (5x - 2)/(x^2 - 4) Question 4 (6 marks)$

Added by Brad F.

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