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2 years ago

Given f(x)=4/5x + 13, find the inverse f-¹(x)Given f(x)= 3/x+10 + 4 find the inverse f-¹(x)

Mathematics

1 answer:

Elodia [21]2 years ago

5 0

f-¹(x) = 69/5y
f-¹(x) = 13 + 4y/(y + 10)

<h3>How to determine the inverse </h3>

The steps involved in determining the inverse of a function are;

Replace f(x) with y in the equation describing the function
Interchange x and y
Solve for y
Replace y by f-1(x)

If f(x) = 4/5x + 13

y = 4/5y + 13

y = 4 + 65 /5y

f^-1 = 4 + 65 /5y

f^-1(x)= 69/5y

If f(x)= 3/x+10 + 4

y = 3/y + 10 + 4

y = 3 + 4y + 10/(y + 10)

y = 13 + 4y/(y + 10)

f^-1(x) = 13 + 4y/(y + 10)

Thus, the inverse of the functions is 69/5y and 13 + 4y/(y + 10)

Learn more about functions here:

brainly.com/question/6561461

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$\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}$

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Given f(x)=4/5x + 13, find the inverse f-¹(x)Given f(x)= 3/x+10 + 4 find the inverse f-¹(x)​

Given f(x)=4/5x + 13, find the inverse f-¹(x)Given f(x)= 3/x+10 + 4 find the inverse f-¹(x)