The function h (x) = four-thirds x minus 1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?

Mathematics

2 answers:

Maslowich3 years ago

7 0

Answer:

If you using edgenuity, your answer is A. 2/3 times x

Step-by-step explanation:

Answers never mix up, so it will be A.

maw [93]3 years ago

4 0

Answer:

A $\frac{2}{3}x$

Step-by-step explanation:

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An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(

jasenka [17]

9514 1404 393

Answer:

7.5 ft
32.5 ft, 5 ft
10.7 ft

Step-by-step explanation:

a) The starting height is h(0) = 7.5 feet, the constant in the quadratic function.

The irrigation system is positioned 7.5 feet above the ground

b) The axis of symmetry for quadratic ax^2 +bx +c is x = -b/(2a). For this quadratic, that is x=-10/(2(-1)) = 5. This is the horizontal distance to the point of maximum height. The maximum height is ...

h(5) = (-5 +10)(5) +7.5 = 32.5 . . . feet

The spray reaches a maximum height of 32.5 feet at a horizontal distance of 5 feet from the sprinkler head.

c) The maximum distance will be √32.5 + 5 ≈ 10.7 ft.

The spray reaches the ground at about 10.7 feet away.