If f(x)=25-x^2 and g(x)=x+5, what is (f/g)(x)? Write your answer in the simplest form.

Mathematics

2 answers:

Flura [38]3 years ago

4 0

F(x) = -x² + 25
g(x) = x + 5

(f ÷ g)(x) = ⁻ˣ²⁺²⁵/ₓ₊₅
(f ÷ g)(x) = ⁻¹⁽ˣ⁺⁵⁾⁽ˣ⁻⁵⁾/ₓ₊₅
(f ÷ g)(x) = -x + 5

siniylev [52]3 years ago

4 0

F(x) = 25-x^2
g(x) =x+5

(25-x^2)/(x+5)
Factor the 25-x^2
(-x+5)(x+5)/(x+5)
The (x+5)s are common therefore cross out leaving you with <span>(f/g)(x)= -x+5</span>

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Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20%, percent more dishes than the previous menu.

Elden [556K]

Correct answers are $D + D(\frac{1}{5})$ and $1.2D$ i.e. Options A & D

<u>Step-by-step explanation:</u>

Options for this questions are:

A)D+1/5D

B)D+20

C)D+20D

D)1.2D choose two answers.

We have , Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20%, percent more dishes than the previous menu. The previous menu had D dishes.We need to find expressions could represent how many dishes Crispy Clover's new menu has . Let's find out:

Initially , Number of dishes are D . Then 20% more dishes are there in menu

⇒ $\frac{D(20)}{100}$