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luda_lava [24]
3 years ago
10

Given:f(x)=x-7 and h(x)=2x+3 write the rule for f(h(x))

Mathematics
1 answer:
OLEGan [10]3 years ago
4 0

Answer:

Step-by-step explanation:

h(x) = 2x + 3

f(2x+3)

2x+3 - 7

2x - 4

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Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.
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Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).  

2x^{4} +x^{2}-10x-1 = P(x)   divided by   (x+2)

Step 1: Find a

To find a we will have to convert (x+2) into (x - a) form

i.e.  (x+2) = (x - (-2))

therefore, a = -2

Step 2: Substitute value of a in P(x),

By substitution we get,

2(-2)^{4}+(-2)^{2}-10(-2)-1

= 2(16) + 4 +20 -1

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Triangle HIJ has coordinates H(-3,5), (8,2), and J(-3,-5). Find
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