Question

need help with this problem

Answer 1

Here is the solution :

To find inverse of a function, Let the function be y, and get all the x terms to 1 side and make it linear, now interchange x and y, And it will be the inverse of a function,

Here,

function : f(x) = x² + 1,

To find inverse :

y = x² + 1,

y - 1 = x²,

=> √(y²-1) = x,

=> Interchange y and x,

=> y = √(x²-1)

=> Inverse of given function is √(x²-1)

Now,

We have to find, Inverse of 17 with function f , and inverse of function -3

=> f inverse(17) = √(17-1) = ±√(16) = ±4,

=> f inverse(17) = {4 , -4},

f inverse(-3) = √(-3-1) = √(-4) which is not a real number,

so,

f inverse(-3) = phi , (There is no symbol in my device)

Therefore : The answers are {4,-4} , phi,
which is, The 4th option !.

Hope you understand, Have a great day,
Thanking you, Bunti 360 !..

Answer 2

Answer:

Step-by-step explanation: