Find the inverse of the function f(x)= 4x-2

f⁻¹(x) = x/4 + 1/2

Step-by-step explanation:

To find the inverse of a function, switch the x and y variables, then isolate y.

f(x) replaced y, so you can replace it back.

y = 4x - 2

x = 4y - 2   Switched x and y

x + 2 = 4y  Added 2 to both sides

y = x/4 + 2/4    Divided both sides by 4

y = x/4 + 1/2   Simplified

f⁻¹(x) = x/4 + 1/2    Use function notation

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

1. 2

2. 11

3. 5

4. 6

5. 7

6. 5

7. -1

8. 1

step-by-step explanation: