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tankabanditka [31]
3 years ago
14

F(x)=x^2-5 and g(x)=3x+1 then f(g(2))

Mathematics
1 answer:
LuckyWell [14K]3 years ago
8 0

Answer:

f(g(2)) = 44

Step-by-step explanation:

g(2) = 3(2) + 1 = 7

Plug 7 into f(x) since g(2) = 7

f(7) = 7² - 5 = 44

f(g(2)) = 44

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A

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All of the others equal -8

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  • d) 55°

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Without using a calculator, determine the number of real zeros of the function
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The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

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The equation of the function is given as:

f(x) = x^3 + 4x^2 + x - 6

Expand the function

f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6

Reorder the terms

f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6

Factor the expression

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Factor out x -1

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Expand

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Factor out x + 2

f(x) = (x + 3)(x + 2)(x- 1)

The function has been completely factored and it has 3 linear factors

Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

Read more about functions at:

brainly.com/question/7784687

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