Question

Question 5 of 10 If f(x) = 2x +4, which of the following is the inverse of f(x)? , x) 7 7 O A. F-1(x) = 2(x-4) 22x O B. f-1(x) = 2(x+4) 7 O C. f-'(x) = 7(x+4) (4 2 O D. f-'(x) = 7(x-4) 2 SUBMIT 1

Answer 1

y = 2x/7 +4

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

x = 2y/7 +4

Subtract 4 from each side

x-4 = 2y/7 +4 -4

x-4 = 2y/7

Multiply each side by 7

7(x-4) = 2y/7 *7

7(x-4) = 2y

Divide each side by 2

7/2 (x-4) = 2y/2

7(x-4) /2 = y

The inverse

f^-1 (x) = 7( x-4)

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2