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mixer [17]
3 years ago
9

Determine whether f(x)= 2x + 4 and g(x)= x - 4 are inverses of each

Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0

Answer:

No, they are not inverses

Step-by-step explanation:

f(g(x)) --> 2x-4

g(f(x)) --> 2x

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svet-max [94.6K]

Answer:the third option is correct

Step-by-step explanation:

The system of equations are

y = 2x^2 - 5x - 7 - - - - - - - - - - -1

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We would equate equation 1 and equation 2. It becomes

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2x^2 - 5x - 2x - 7 - 2 = 0

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We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore

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y = 2 × 4.5 + 2 or y = 2 × - 1 + 2

y = 11 or y = 0

Therefore, the solutions are

(4.5, 11) (- 1, 0)

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