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Lubov Fominskaja [6]
3 years ago
11

If f(x) = 2x + 3 and g(x) =4x - 1, find f(4).

Mathematics
1 answer:
fomenos3 years ago
6 0

Solve the "f" function with substitute 4 and solve the "g" function with what we get for the "f" function.

f(4) = 2(8) + 3

f(4) = 16 + 3

f(4) = 19

g(19) = 4(19) - 1

g(19) = 76 - 1

g(19) = 75

Best of Luck!

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Find the value of y.
snow_tiger [21]

Answer:

  y = √55

Step-by-step explanation:

All the triangles are similar, so the ratio of short side to hypotenuse is the same for all:

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_____

<em>Comment on the geometry</em>

There are three "geometric mean" relationships that apply to this geometry.

  1. the altitude BD is the geometric mean of BC and BA (√30)
  2. the long side of the large triangle is the geometric mean of the longer segment of the hypotenuse and the whole hypotenuse (x = √66)
  3. the short side of the large triangle is the geometric mean of the shorter segment of the hypotenuse and the whole hypotenuse (y = √55)

If you were aware of the last of these relationships, you could write down the answer without any "work."

  y = √(5(5 +6)) = √55

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The geometric mean is the n-th root of the product of n numbers. When there are 2 numbers, it is the square root of their product.

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