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alexdok [17]
2 years ago
9

F(x) = 5/(7x-8) What is the inverse of this function?

Mathematics
2 answers:
oee [108]2 years ago
3 0
f(x)=\dfrac{5}{7x-8}\\\\y=\dfrac{5}{7x-8}\iff\dfrac{1}{y}=\dfrac{7x-8}{5}\ \ \ |multiply\ both\ sides\ by\ 5\\\\\dfrac{5}{y}=7x-8\ \ \ |add\ 8\ to\ both\ sides\\\\7x=\dfrac{5}{y}+8\\\\7x=\dfrac{5}{y}+\dfrac{8y}{y}\\\\7x=\dfrac{5+8y}{y}\ \ \ \ |divide\ both\ sides\ by\ 7\\\\x=\dfrac{5+8y}{7y}\\\\Answer:\boxed{f^{-1}(x)=\dfrac{5+8x}{7x}\ other\ form\ f^{-1}(x)=\dfrac{5}{7x}+\dfrac{8}{7}}
zzz [600]2 years ago
3 0
f(x)=\dfrac{5}{7x-8}\\
y=\dfrac{5}{7x-8}\\
7x-8=\dfrac{5}{y}\\
7x=\dfrac{5}{y}+8\\
x=\dfrac{5}{7y}+\dfrac{8}{7}\\
\boxed{f^{-1}(x)=\dfrac{5}{7x}+\dfrac{8}{7}}

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By selling old CD Sarah has a store credit of $153 a new CD cost $18 what are the problem numbers of new cCD Sarah can buy
DiKsa [7]
Rileyflipflop, \frac{153}{18} = 8 \frac{1}{2}, since she can't buy half a CD, she's limited to no more than 8 CDs. If x = the cost of one CD, then x CDs cost $18x. Since we are limited to $153, our equation looks like... 18x < 153x < 8 \frac{1}{2} Again, since we can't buy half a CD, your answer should actually be... x ≤ 8 since we can buy 8 CDs or fewer.
4 0
3 years ago
The cost of renting a car is $46/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y=46
julsineya [31]

The answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation to represent the cost would be y=46+0.25x

x is the number of miles.

a) What is your cost if you travel 57 miles?

Plug x = 57 in the above equation:

y = 46 + 0.25(57)

y = $60.25

b) If your cost was $65.00, how many miles were you charged for traveling?

Plug y = 65 in the equation:

65 = 46 + 0.25x

x = 76 miles

c) Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?

Plug y = 100 in the equation:

100 = 46 + 0.25x

x = 216 miles

Thus, the answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

5 0
1 year ago
Read 2 more answers
EXTRA POINTS :) what is the value of x??
vlada-n [284]

Answer:

x = 17

Step-by-step explanation:

corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so

6x + 8 + 4x + 2 = 180°     then combine like terms ( 6x and 4x, 8 and 2 )

10x + 10 = 180         subtract 10 from both sides

        -10     -10

10x = 170            divide each side by 10

/10     /10

x = 17

8 0
2 years ago
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