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sveta [45]
3 years ago
15

A rectangle has a height of 2x^4and a width of x^2+8x+15x

Mathematics
1 answer:
Greeley [361]3 years ago
5 0

Answer:

2x⁶ + 16x⁵ + 30x⁴

Step-by-step explanation:

area of rectangle with height 2x⁴ and width x²+8x+15

area = height x width

2x⁴( x²+8x+15)

2x⁴( x²) +2x⁴(8x)+ 2x⁴(15)

2x⁴⁺² + 16x⁴⁺¹ + 30x⁴

2x⁶ + 16x⁵ + 30x⁴

the area of the rectangle in polynomial which is in standardised form is 2x⁶ + 16x⁵ + 30x⁴

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Given f(x) and g(x), please find (fog)(X) and (gof)(x) f(x) = 2x   g(x) = x+3    

Given f(x) and g(x), please find (fog)(X) and (gof)(x)

f(x) = 2x   g(x) = x+3    

print Print document PDF list Cite

Quick Answer

(fog)(x) = 2x + 6

(gof)(x) = 2x + 3

Expert Answers

HALA718 eNotes educator| CERTIFIED EDUCATOR

f(x) = 2x

g(x) = x + 3

First let us find (fog)(x)

(fog)(x) = f(g(x)

            = f(x+3)

              = 2(x+3)

              = 2x + 6

==> (fog)(x) = 2x + 6

Now let us find (gof)(x):

(gof)(x) = g(f(x)

           = g(2x)

          = 2x + 3

==> (gof)(x) = 2x + 3

Step-by-step explanation:


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