If f (x) = 2x/7+4 which of the following is the inverse of f (x)

Question

Fawn

Mathematics

11 April, 23:30

If f (x) = 2x/7+4 which of the following is the inverse of f (x)

+4

Answers (2)

Know the Answer?

Bernard Chaney · Answer 1

Bernard Chaney 11 April, 23:51

0

F-7 (x) = 11x/2

That's the answer

Diamond · Answer 2

f (x) = 2x / (7 + 4)

We can simplify 7 + 4 to 11.

f (x) = 2x/11

Replace f (x) with y.

y = 2x/11

Swap x and y.

x = 2y/11

Solve for y.

Multiply both sides by 11.

11x = 2y

Divide both sides by 2.

y = 11x/2

Replace y with f^-1 (x)

f^-1 (x) = 11x/2