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balu736 [363]
3 years ago
12

G(x)=15x-10 find the inverse and function

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

The inverse function is g(x) = \frac{x + 10}{15}


You can find the inverse of any function by switching the g(x) value (or whatever the function value is labelled) and the x value. Then solve for the new g(x) value. The result will be your inverse function.


g(x) = 15x - 10 ---> Switch the g(x) and x

x = 15g(x) - 10 ---> Add 10 to both sides

x + 10 = 15g(x) ----> Divide both sides by 15.

\frac{x + 10}{15} = g(x) ----> Switch the order

g(x) = \frac{x + 10}{15}


And that would be your inverse function.

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