5 (2x – 1) –7 = 2 (x – 3)

x−3=x−3

Step-by-step explanation:

Evaluate (2x−1)−7, then set it equal to 2.

Subtract 7 from −1 = 2x−8

Solve 2x−8=2.

Move all terms not containing x to the right side of the equation.

Add 8 to both sides of the equation=2x=2+8

Add 2 and 8=2x=10

Divide each term by 2 and simplify.

Divide each term in 2x=10 by 2=2x/2=10/2

Cancel the common factor of 2

Cancel the common factor=10/2

Divide x by 1=x=10/2

Divide 10 by 2=x=5

Remove parentheses=x−3

List all of the solutions.

5=

(2x−1)−7=2=x=5

x−3=x−3

Finding the inverse of a function means solving in terms of x, therefore:

f(x) = 4x - 5.

Add 5 to each side

f(x) + 5 = 4x.

Divide each side by 4

(f(x) + 5) / 4 = x.

change x to f^-1(x) and f(x) to x:

the inverse is f^-1(x) = (x + 5)/4 or f^-1(x) = x / 4 + 5 / 4