Question

Given the function f(x) = 0.5(3)x, what is the value of f−1(7)? 1) 0.565 2) 1.140 3) 1.771 4) 2.402

Answer 1

Answer:7=0.5 |x-4| -3

+3                +3

10=0.5 |x-4|

10/0.5=0.5/0.5 |x-4|

20=|x-4|

            ^

-20=x-4   20=x-4

 +4    +4    +4    +4

-16=x       24=x

The answers are -16=x and 24=x

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Step-by-step explanation:

Answer 2

Y = .5(3)x = 1.5x
The inverse is x = 1.5 y which is f^-1(x)
Then y = x/1.5
f^-1(7) = 7/1.5 = 14/3 which is not an answer.
Is the problem written correctly.