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

When f(x)=25-x^2 and g(x)=x+5, (f/g)(x)= _______

Question

calvinclifton calvinclifton

17-01-2019
Mathematics

contestada

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

When f(x)=25-x^2 and g(x)=x+5, (f/g)(x)= _______

Respuesta :

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lisboa lisboa · Answer 1 · 2019-01-17T01:22:28+01:00

Answer:

[tex]\frac{f(x)}{g(x)} = (5-x)[/tex]

Step-by-step explanation:

f(x)=25-x^2 and g(x)=x+5

We need to find (f/g)(x)

(f/g)(x) = f(x)/ g(x)

we divide f(x) by g(x) and then we simplify

[tex]\frac{f(x)}{g(x)} = \frac{25-x^2}{x+5}[/tex]

WE factor 25-x^2

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

[tex]\frac{f(x)}{g(x)} = \frac{25-x^2}{x+5}[/tex]

[tex]\frac{f(x)}{g(x)} = \frac{(5-x)(5+x)}{x+5}[/tex]

5+x or x+5 are same , so we cancel out x+5

[tex]\frac{f(x)}{g(x)} = (5-x)[/tex]

chisnau chisnau · Answer 2 · 2019-10-05T07:32:33+02:00

chisnau chisnau

05-10-2019

Answer:

f/g)(x)= -x+5 or 5-x

Step-by-step explanation:

We have been given the functions as:

[tex]f(x)=25-x^{2}[/tex]

[tex]g(x)=x+5[/tex]

We have to find (f/g)(x)

We know that [tex]a^{2} - b^{2} = (a+b)(a-b)[/tex]

So, [tex]25-x^{2}[/tex] = [tex](5+x)(5-x)[/tex]

(f/g)(x) = [tex]\frac{(5+x)(5-x)}{x+5}[/tex]

The (x+5)' are common so they get cancelled out.

Therefore, we get f/g)(x)= -x+5 or 5-x

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

Respuesta :

Otras preguntas

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

When f(x)=25-x^2 and g(x)=x+5, (f/g)(x)= _______