Question

Question 6 of 10 If f(x) = 2x-3 -3 5 which of the following is the inverse of f(x)? > O A. f-'(x) = 5x+3 2 O B. f'(x) = 3x+2 5 O c. f'(x) 2x +3 5 O D. f-'(x) = 3x +5 2 SUBMIT

Answer 1

y = (2x-3)/5

To find the inverse, exchange x and y and solve for y

x = ( 2y-3)/5

Multiply each side by 5

5x = 2y-3

Add 3 to each side

5x+3 = 2y-3+3

5x+3 = 2y

Divide each side by 2

(5x+3)/2 = 2y/2

(5x+3)/2 = y

The inverse is (5x+3) /2

f^-1(x) = 5x+3

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2