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olga55 [171]
3 years ago
11

Express the given function h as a composition of two functions f and g so that h (x )equals (f circle g )(x )commah(x)=(f◦g)(x),

where one of the functions is 4 x minus 3.4x−3. h (x )equals (4 x minus 3 )Superscript 8h(x)=(4x−3)8 f (x )f(x)equals=4 x minus 3
Mathematics
1 answer:
erica [24]3 years ago
7 0

Answer:

h(x) = g o f(x), with f(x) = 4x-3 and g(x) = x⁸

Step-by-step explanation:

f(x) = 4x-3

h(x) = (4x-3)⁸

Note that what we do with f to obtain h is power the expression 4x-3 given by f 8 times, thus what we are composing f with a function g that takes a value and power it by 8, as a consecuence g(x) = x⁸, and h(x) = g o f(x), with f(x) = 4x-3 and g(x) = x⁸.

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The rectangular prism shown has a volume of 10 cubic centimeters, = 1 cm3 Choose all the rectangular prisms that also have a vol
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Answer:

B and C

Step-by-step explanation:

We are given a rectangular prism that consists of 10 cubes. Each cube = 1 cm³. The volume of rectangular prism given = 10cm³.

Let's find out which of the options has same volume (10cm³) as that of the given rectangular prism.

Option A has 15 cubes = 15 cm³ in volume

Option B has 10 cubes = 10 cm³ in volume

Option C has 10 cubes also = 10 cm³ in volume

Option D has 12 cubes = 12 cm³

The rectangular prisms that have the same volume (10 cm³) with the given rectangular prism are option B and C.

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3 years ago
Write the equation of the line that passes through (0, 3) and is parallel to the line 3x + 5y = 6.
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Please, see the offered decision:
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6   k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):
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Step-by-step explanation:

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