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oksano4ka [1.4K]
3 years ago
12

Find g of f for f=7x+5 and g(x)=5x^2+4x-3

Mathematics
1 answer:
madreJ [45]3 years ago
7 0
Basically (g of f)x=(f(g(x)) so
g of f=f(g(x))=7(5x^2+4x-3)+5
distribute
f(g(x))=35x^2+28x-21+5=35x^2+28x-16

g of f=35x^2+28x-16
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What are the coordinates of the point where the total costs for both companies are the same? Question 1 options: (2, 60) (0, 0)
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Step-by-step explanation:

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Find an equation of the plane orthogonal to the line
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The given line is orthogonal to the plane you want to find, so the tangent vector of this line can be used as the normal vector for the plane.

The tangent vector for the line is

d/d<em>t</em> (⟨0, 9, 6⟩ + ⟨7, -7, -6⟩<em>t </em>) = ⟨7, -7, -6⟩

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⟨<em>x</em>, <em>y</em>, <em>z</em>⟩ • ⟨7, -7, -6⟩ = 0

We want the plane to pass through the point (9, 6, 0), so we just translate every vector pointing to the plane itself by adding ⟨9, 6, 0⟩,

(⟨<em>x</em>, <em>y</em>, <em>z</em>⟩ - ⟨9, 6, 0⟩) • ⟨7, -7, -6⟩ = 0

Simplifying this expression and writing it standard form gives

⟨<em>x</em> - 9, <em>y</em> - 6, <em>z</em>⟩ • ⟨7, -7, -6⟩ = 0

7 (<em>x</em> - 9) - 7 (<em>y</em> - 6) - 6<em>z</em> = 0

7<em>x</em> - 63 - 7<em>y</em> + 42 - 6<em>z</em> = 0

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<em>a</em> = 7, <em>b</em> = -7, <em>c</em> = -6, and <em>d</em> = 21

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3 years ago
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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answered by g a u t h m a th

5 0
2 years ago
Read 2 more answers
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