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xeze [42]
3 years ago
14

For f (x) = 4 x +1 and g(x) = x^2- 5, find (g/f)(x)

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0

Answer:

The answer is: \frac{x^2-5}{4x+1}

Step-by-step explanation:

We are given: f(x)=4x+1 and g(x) = x^2-5

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

Simply divide g(x) and f(x)\\.

Which equates to:

(g/f)(x)= \frac{g(x)}{f(x)} =\frac{x^2-5}{4x+1}

This cannot be simplified further, so it is the answer.

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Hey guys please help with this questoin Find (x+y) ÷ (x-y) if x=5/4 y=-1/3​
pogonyaev

Answer:

<h2>11/19</h2>

Step-by-step explanation:

(\frac{5}{4} + (-\frac{1}{3})) \div (\frac{5}{4} - (-\frac{1}{3}))\\\\\frac{\frac{5}{4}+\left(-\frac{1}{3}\right)}{\frac{5}{4}-\left(-\frac{1}{3}\right)}\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\=\frac{\frac{5}{4}-\frac{1}{3}}{\frac{5}{4}+\frac{1}{3}}\\\\\mathrm{Join}\:\frac{5}{4}+\frac{1}{3}:\quad \frac{19}{12}\\\mathrm{Join}\:\frac{5}{4}-\frac{1}{3}:\quad \frac{11}{12}\\\\=\frac{\frac{11}{12}}{\frac{19}{12}}\\\\=\frac{11\times\:12}{12\times \:19}

= 11/19

7 0
3 years ago
What is the simplified form of the following expression? Assume x &gt; 0.
Lady bird [3.3K]

Answer:

fourth root of 24 x cubed/16x to the power four

3 0
3 years ago
The dimensions of a figure are doubled, how many times larger will the volume be? Only enter numerical answers
Doss [256]

Answer:if you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).

Step-by-step explanation:

3 0
3 years ago
What is the solution of |-1 + x| = 5
nataly862011 [7]

Answer:

6, -4

Step-by-step explanation:

abs(-1+x)=5

-1+x=5 and -1+x=-5

-------------------------

-1+x=5

x=5-(-1)=5+1=6

-------------------

-1+x=-5

x=-5-(-1)=-5+1=-4

4 0
3 years ago
Sasha can mow of an acre of grass in 45 minutes. How many acres of grass does Sasha mow per hour?
AleksAgata [21]

Answer:

45 minutes =34 hour. → Sasha mows 48=12 of an acre in 44=1 hour.

Step-by-step explanation:

5 0
2 years ago
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