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anonymous
 one year ago
Given f(x) = x1/ 2, solve for f−1(5).
anonymous
 one year ago
Given f(x) = x1/ 2, solve for f−1(5).

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha @mathstudent55

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437501005469:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.2replace f(x) with 5 and solve for x

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[f^{1}(5)=x \text{ \implies} f(x)=5\] \[5=\frac{x1}{2} \\ \text{ multiply 2 on both sides } \\ 10=x1\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2so adding 1 on both sides does not give 10

freckles
 one year ago
Best ResponseYou've already chosen the best response.210=x1 add 1 to both sides yes 10+1=x 11=x this means since \[f(11)=5 \text{ then } f^{1}(5)=11\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I thought it would be 2 because 51/2 =2

freckles
 one year ago
Best ResponseYou've already chosen the best response.2why did you replace x with 5?

freckles
 one year ago
Best ResponseYou've already chosen the best response.2you were suppose to replace f(x) with 5 the question ask to find f inverse of 5 not f of 5 like this is the way I like to to think of it if it asked to find something like \[f^{1}(5) \\ \text{ then I call this something like } x \\ f^{1}(5)=x \\ \text{ but if } f^{1}(5)=x \text{ then } f(x)=5 \\ \text{ so this means I can find the } x \text{ for when } f(x) \text{ is } 5 \\ \text{ by replace } f(x) \text{ with 5 and solving for } x \] \[f(x)=\frac{x1}{2} \\ \text{ we are going \to replace } f(x) \text{ with 5, not } x \\ \text{ since we have }f(x)=5 \\5=\frac{x1}{2} \\ \text{ now we can figure out the } x \text{ such that we do have } f(x)=5\] We figured out that that x was 11 so we have f(11)=5 so that means \[f^{1}(5)=11 \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Which of the following is the conjugate of a complex number with 2 as the real part and −8 as the imaginary part?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0complex number: a + bi conjugate: a  bi As you can see , only the sign of the imaginary part changes to form the conjugate, which is what you did. Good job!
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