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Alecsey [184]
3 years ago
13

If f(x)=25-x^2 and g(x)=x+5, what is (f/g)(x)?

Mathematics
2 answers:
luda_lava [24]3 years ago
6 0

Answer:

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

Step-by-step explanation:

We have been given the functions as:

f(x)=25-x^{2}

g(x)=x+5

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

We know that a^{2} - b^{2} = (a+b)(a-b)

So, 25-x^{2} = (5+x)(5-x)

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

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

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

elena-s [515]3 years ago
5 0

Answer:

\frac{f(x)}{g(x)} = (5-x)

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

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

WE factor 25-x^2

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

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

\frac{f(x)}{g(x)} = \frac{(5-x)(5+x)}{x+5}

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

\frac{f(x)}{g(x)} = (5-x)

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