If f (x) and f⁻¹ (x) are inverse functions of each other and f (x) = 2x+5, what is f⁻¹ (8) ?

-1

3/2

41/8

23

Question

Mathematics

Sarai Harris

24 October, 03:01

If f (x) and f⁻¹ (x) are inverse functions of each other and f (x) = 2x+5, what is f⁻¹ (8) ?

-1

3/2

41/8

23

+4

Answers (1)

Know the Answer?

Malachi House · Answer 1

3/2.

Step-by-step explanation:

f (x) = 2x+5 Finding the inverse:

y = 2x + 5

2x = y - 5

x = (y - 5) / 2

So the inverse f-1 (x) = (x - 5) / 2

and f-1 (8) = (8-5) / 2

= 3/2.

If f (x) and f⁻¹ (x) are inverse functions of each other and f (x) = 2x+5, what is f⁻¹ (8) ?-13/241/823

If f (x) and f⁻¹ (x) are inverse functions of each other and f (x) = 2x+5, what is f⁻¹ (8) ?

-1

3/2

41/8

23