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olya-2409 [2.1K]
3 years ago
7

F(x) = -x + 5 g(x) = x2 – x +4 Find: (f•g)(x)

Mathematics
1 answer:
Sergio039 [100]3 years ago
5 0

Answer:

(fog)(x) =  -  {x}^{2}  + x + 9

Step-by-step explanation:

(fog)(x) = f(g(x)) \\  =  - ( {x}^{2}  - x - 4) + 5 \\ =   -  {x}^{2}  + x + 4 + 5 \\  =  -  {x}^{2}  + x + 9

I hope I helped you^_^

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Which expression is equal to (f - g)(x)?
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ANSWER

A. x-8

EXPLANATION

The given functions are:

f(x) =  {x}^{2}  - 11x + 24

We factor this to get,

f(x) = (x - 8)(x - 3)

and

g(x) = x - 3

( \frac{f}{g} )(x) =  \frac{f(x)}{g(x)}

( \frac{f}{g} )(x) =  \frac{ {x}^{2}  - 11x + 24}{x - 3}  \:  for\: x \ne3

( \frac{f}{g} )(x) =  \frac{(x - 8)(x - 3)}{x - 3}

Cancel the common factors to get,

( \frac{f}{g} )(x) = x - 8

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3 years ago
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