Question

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)​

Answer 1

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

How to determine the inverse

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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