Given f(x) = 2 log(x) – 2, find f-1(-8). b) 27 c) 27 d) -3 e)...

Question

Question

Given f(x) = 2 log(x) – 2, find f-1(-8). b) 27 c) 27 d) -3 e) 3 f) None of the above.

math algebra

Answer 1

Answer #1

Answer 2

Answer #2

SOLUTION :

f(x) = y = 2 log3 (x) - 2

=> log3 (x) = (y + 2)/2

=> 3 ^ log3(x) = 3^((y + 2)/2)

=> x = 3^((y + 2)/2)

Interchange x and y :

=> y = 3^((x + 2)/2) = f^(-1) (x)

=> f^(-1)(- 8) = 3^((- 8 + 2)/2) = 3^(- 3) = 1/3^3 = 1/27.

Hence,

f^(-1) (- 8) = 1/27 : Option c (ANSWER).

answered by: Tulsiram Garg

Answer 3

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