Which of the following is the inverse of f (x) = 4x-10?

A.) f (x) = x-10/4

B.) f (x) = x+10/4

C.) f (x) = 4/x-10

D.) f (x) = 4/x+10

Question

Mathematics

Vanessa Bonilla

12 July, 06:54

Which of the following is the inverse of f (x) = 4x-10?

A.) f (x) = x-10/4

B.) f (x) = x+10/4

C.) f (x) = 4/x-10

D.) f (x) = 4/x+10

+5

Answers (1)

Know the Answer?

Jadyn Stout · Answer 1

Injective - (one-to-One)

so

Replace the f (x) with y

10-4x

Interchange the variables

x=10-4y

Solv for y.

y = 5/2 - x/4

So solve for y and replace with f-1 (x).

and it equals

f-1 (x) = 5/2 - x/4

Which of the following is the inverse of f (x) = 4x-10?A.) f (x) = x-10/4B.) f (x) = x+10/4C.) f (x) = 4/x-10D.) f (x) = 4/x+10

Which of the following is the inverse of f (x) = 4x-10?

A.) f (x) = x-10/4

B.) f (x) = x+10/4

C.) f (x) = 4/x-10

D.) f (x) = 4/x+10