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Gemiola [76]
3 years ago
13

F(x)=2x+1 and g(x)=x^2-7, find (f g) (x)

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0

The answer is (f o g)(x) = 2x^2 - 13

In order to find a composite function, you take the first letter (in this case f) and use that equation. You then remove the variable and put in the second letter (g).

f(x) = 2x + 1 ----> Remove variable.

f(x) = 2(      ) + 1 ----> Insert g(x)

(f o g)(x) = 2(x^2 - 7) + 1 ----> Distribute

(f o g)(x) = 2x^2 - 14 + 1 ----> Simplify

(f o g)(x) = 2x^2 - 13

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Natasha2012 [34]

Answer:

C = (\frac{21}{5},\frac{33}{5})

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Given

Points: (1, 9) and (9, 3)

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Required

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Represent the ratio as ratio

Ratio = 2:3

The new coordinate can be calculated using

C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})

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<em>The coordinates of the new center is </em>C = (\frac{21}{5},\frac{33}{5})<em></em>

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