SOLUTION: find the inverses: F(x)= 3 * 5^x - 1 : G(x)= log(base5)(2x-7)
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-> SOLUTION: find the inverses: F(x)= 3 * 5^x - 1 : G(x)= log(base5)(2x-7)
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Question 274677
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find the inverses: F(x)= 3 * 5^x - 1 : G(x)= log(base5)(2x-7)
Answer by
edjones(8007)
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G(x)= log(base5)(2x-7)
y=log[5](2x-7)
x=log[5](2y-7)
5^x=5^(log[5](2y-7))
5^x=2y-7
2y=5^x-7
y=(5^x-7)/2
G^1(x)=(5^x-7)/2
.
Ed