Find the following function. f(g(x)) if f(x)= x/(x-7) and g(x)=4/x

Mathematics

1 answer:

sdas [7]2 years ago

5 0

F(g(x)) = f(4/x) = (4/x)/(4/x - 7) = (4/x)/((4 - 7x)/x) = 4/x * x/(4 - 7x) = 4/(4 - 7x)

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W = 2 cm

L = 5 cm

Step-by-step explanation:

A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. Its area, the amount of space inside it, can be found using the formula A = l*w. If the area is 10 cm² and the length is "3 cm less than 4 times the width" or 4w - 3, you can substitute and solve for w.

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$w = \frac{3 +/- \sqrt{(-3)^2 - 4(4)(-10)} }{2(4)} = \frac{3 +/- \sqrt{9 +160)} }{8} = \frac{3 +/- \sqrt{169} }{8} = \frac{3+/-13}{8}$