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Anni [7]
1 year ago
9

Please help with step by step

Mathematics
1 answer:
gregori [183]1 year ago
7 0
f(x)=10e^{\frac{x-1}{2}}

substitute f(x) for y
y=10e^{\frac{x-1}{2}}

solve for x

\frac{y}{10}=e^{\frac{x-1}{2}}

ln( \frac{y}{10}) = \frac{x-1}{2}

2ln( \frac{y}{10})=x-1

2ln( \frac{y}{10})+1 =x

2ln( \frac{y}{10})   is esquivent to 2ln(y) - 2ln(10)

2ln(y)-2ln(10)+1=x

Change x to y and y to x

2ln(x)-2ln(10)+1=y

Flip formula and substitute y for g(x)

g(x)=2ln(x)-2ln(10)+1
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