anonymous
  • anonymous
Given the function f(x) = log4(x + 8), find the value of f−1(2). a. f−1(2) = 4 b. f−1(2) = 8 c. f−1(2) = 10 d. f−1(2) = 17
Mathematics
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anonymous
  • anonymous
Given the function f(x) = log4(x + 8), find the value of f−1(2). a. f−1(2) = 4 b. f−1(2) = 8 c. f−1(2) = 10 d. f−1(2) = 17
Mathematics
jamiebookeater
  • jamiebookeater
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
hi are you still on? i can help
anonymous
  • anonymous
we need to find the inverse. do you know how to do that?
anonymous
  • anonymous
don't i replace x with y and y with x?

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anonymous
  • anonymous
f(x) = log4(x + 8) y = log4(x + 8) x = log4(y + 8) Now solve for y from there. x = log4(y + 8) \[f-1(x) = -8 + 4^x\]
anonymous
  • anonymous
now just plug in 2, what do you get?
anonymous
  • anonymous
-8 + 4^2 4^2 = 16 -8+16 = 8 your answer will be B.
anonymous
  • anonymous
do you need anymore help?
anonymous
  • anonymous
if so close this question and post another one and invite me. please medal me though
anonymous
  • anonymous
oh okay, thank you so so much! and yes, i do. is it okay if i post it separately? so incase any one else needs help, they can find it easier.
anonymous
  • anonymous
yes awesome

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