If f is a one-to-one function such that f(−7) = 6, what is f −1(6)?
Question
If f is a one-to-one function such that f(−7) = 6, what is f −1(6)?
Solution
The function f is one-to-one, which means each input corresponds to exactly one output and vice versa.
Given that f(-7) = 6, it means that when the input is -7, the output is 6.
The inverse function f^-1(6) is asking for the input that gives an output of 6.
Since we know from the function f that an input of -7 gives an output of 6, the inverse function f^-1(6) would give an output of -7.
So, f^-1(6) = -7.
Similar Questions
If f is a one-to-one function and f(4) = 5, f(6) = 7, and f(13) = −10, find f −1(7), f −1(5), and f −1(−10).SolutionFrom the definition of f −1 we havef −1(7) = because f = 7f −1(5) = because f = 5f −1(−10) = because f = −10The diagrams make it clear how f −1 reverses the effect of f in this case.4613There are two sets, the set A contains 3 elements, the set B contains 3 elements, and 3 arrows connect the set A to the set B, the relation from set A to set B is labeled f.The set A contains the elements 4, 6 and 13.The set B contains the elements 5, 7 and −10.An arrow connects 4 in the set A to 5 in the set B.An arrow connects 6 in the set A to 7 in the set B.An arrow connects 13 in the set A to −10 in the set B.4613There are two sets, the set B contains 3 elements, the set A contains 3 elements, and 3 arrows connect the set B to the set A, the relation from set B to set A is labeled f −1.The set B contains the elements 5, 7 and −10.The set A contains the elements 4, 6 and 13.An arrow connects 5 in the set B to 4 in the set A.An arrow connects 7 in the set B to 6 in the set A.An arrow connects −10 in the set B to 13 in the set A.
Find the inverse function of the function f, of, x, equals, start fraction, 6, x, divided by, 7, end fractionf(x)= 76x .
Select the correct answer.What is the inverse of function f?𝑓(𝑥)=𝑥+7 A. 𝑓-1(𝑥)=(𝑥+7)2,for𝑥≥-7 B. 𝑓-1(𝑥)=𝑥2+7,for𝑥≥-7 C. 𝑓-1(𝑥)=𝑥2−7,for𝑥≥7 D. 𝑓-1(𝑥)=(𝑥−7)2,for𝑥≥7
Find f −1.f −1(x) =
Select the correct answer.If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.