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dtan5457
 one year ago
If f(x)=2x5 and g(x)=(1+3x)/(52x)
compute g(f^1(z))
dtan5457
 one year ago
If f(x)=2x5 and g(x)=(1+3x)/(52x) compute g(f^1(z))

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freckles
 one year ago
Best ResponseYou've already chosen the best response.2well first solve y=2x5 for x

freckles
 one year ago
Best ResponseYou've already chosen the best response.2cool \[f^{1}(x)=\frac{x+5}{2} \\ \text{ so } f^{1}(z)=\frac{z+5}{2}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[g(\frac{z+5}{2})=?\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2just replace all of those x's in that g thingy with (z+5)/2

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[\frac{1+3\frac{z+5}{2}}{52 \frac{z+5}{2}} \\ \frac{1+\frac{3(z+5)}{2}}{5(z+5)} \\ \frac{1+\frac{3(z+5)}{2}}{5z5}\] did you get that far?

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[\frac{1+\frac{3(z+5)}{2}}{z}\] yep what you have seems right good job
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