Question 128569
Is this what the function looks like: {{{f(x)=sqrt(6x-8)}}} ?



{{{f(x)=sqrt(6x-8)}}} Start with the given equation



{{{f(-1)=sqrt(6(-1)-8)}}} Plug in {{{x=-1}}}



{{{f(-1)=sqrt(-6-8)}}} Multiply



{{{f(-1)=sqrt(-14)}}} Subtract



If you have not learned about imaginary numbers, then this is where you would stop. If you have, then...



{{{f(-1)=i*sqrt(14)}}} Simplify the square root






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OR



Is this what the function looks like: {{{f(x)=sqrt(6x)-8}}} ?



{{{f(x)=sqrt(6x)-8}}} Start with the given equation



{{{f(-1)=sqrt(6(-1))-8}}} Plug in {{{x=-1}}}



{{{f(-1)=sqrt(-6)-8}}} Multiply



{{{f(-1)=i*sqrt(6)-8}}} Simplify the square root



{{{f(-1)=-8+i*sqrt(6)}}} Rearrange the terms