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Burka [1]
3 years ago
7

Find the difference quotient please

Mathematics
1 answer:
vodka [1.7K]3 years ago
4 0
Given:
f(x) =  \frac{x}{x+6}

Answers:
f(a) =  \frac{a}{a+6}
f(a+h) =  \frac{a+h}{a+h+6}
\frac{f(a+h)-f(a)}{h} = \frac{6}{(a+h+6)(a+6)}

Explanation:
f(a+h)-f(a) =  \frac{(a+h)(a+6)-a(a+h+6)}{(a+h+6)(a+h)} \\ = \frac{a^{2}+6a+ah+6h-(a^{2}+ah+6a)}{(a+h+6)(a+6)} \\= \frac{6h}{(a+h+6)(a+6)}
\frac{f(a+h)-f(a)}{h} = \frac{6}{(a+h+6)(a+6)}



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6 0
3 years ago
Complete the solution of the equation. find the value of y when x equals 1. <br><br>9x +7y= -12​
Taya2010 [7]

Answer:

y=-3

Step-by-step explanation:

Given Equation:  

                            9x +7y=-12\\             y=?       at    x= 1

Putting the given value of 'x' in the equation:

                            9(1) +7y=-12\\\\9+7y=-12\\\\7y=-12-9\\\\7y=-21\\\\y=-\frac{21}{7} \\y=-3

At x=1, the value of y is y=-3

6 0
3 years ago
In the drawing below , PQ is parallel to ST. Triangle is similar to triangle TSR.
Lapatulllka [165]
SR corresponds to PR
7 0
3 years ago
Let f be defined as shown. What is f^-1(-3)
Irina18 [472]

Hello,

f^{-1}(-3)=-1\\

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in f we find (-1,-3)  so in f^{-1} we find (-1,-3)^{-1}=(-3,-1)

5 0
2 years ago
 For the equation 2n - 3 = 7
Stells [14]

Answer:

The variable is n

The coefficient is 2

And the solution to n is 10.

Step-by-step explanation:

The number in the equation is the variable. The coefficient is the number before the variable. And a number next to a letter means you multiply. So 2*5=10 10-3=7

5 0
2 years ago
Read 2 more answers
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