Given the function f (x) = 3x, find the value of f-1 (27). f-1 (27) = 1 f-1 (27) = 3 f-1 (27) = 9 f-1 (27) = 81

Question

Mathematics

Carlee

27 May, 01:38

Given the function f (x) = 3x, find the value of f-1 (27). f-1 (27) = 1 f-1 (27) = 3 f-1 (27) = 9 f-1 (27) = 81

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Answers (1)

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Korbin · Answer 1

Fun fact

if f (a) = b then f⁻¹ (b) = a

so

if f⁻¹ (b) = a then f (a) = b

so we find f (x) = 27 and the solve for x

f (x) = 3x=27

3x=27

divide both sides by 3

x=9

so if f (9) = 27 then f⁻¹ (27) = 9

problem solved

answer is 9