( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
<span>\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}<span><span>(<span><span>g</span><span>f</span><span></span></span>)</span>(x)=<span><span><span>4−5x</span></span><span><span>3x+2</span></span><span></span></span></span></span>
Answer:
Rock travels about 8.2x²meters higher on the moon than on the Earth.
Step-by-step explanation:
Expression showing the height of a rock thrown into the air at Earth is,
f(x) = -9.8x² + 10x + 1.5
Similarly, expression showing the height of rock thrown on the moon is,
g(x) = -1.6x² + 10x + 1.5
Difference in the height of the rock thrown on moon = g(x) - f(x)
= (-1.6x² + 10x + 1.5) - ( -9.8x² + 10x + 1.5)
= -1.6x² + 9.8x² + 10x - 10x + 1.5 - 1.5
= 8.2x²
Therefore, rock travels about 8.2x²meters higher on the moon than on the Earth.
