find inverse of g?

Question

if g(x)=6+x+8e^(x-4)

find inverse of g(18)

Answer 1

g(x)=6+x+8e^(x-4)
y = 6 + x + 8e^(x-4)
swap x and y
x = 6 + y + 8e^(y-4)
h(y) = 6 + y + 8e^(y-4)
h(18) = 6 + 18 + 8e^14
inverse of g(18) equals 9620858.3...

Th

Answer 2

That's easy.

But I bet what the question really asked for is "g inverse of 18"

And how would I solve that? Well, the only X I can think of for which the RHS is even rational, let alone an integer, is the one in which the e winds up being raised to the power 0. I.e., X = 4. Plug that in and hope to get lucky.

Answer 3

g^-1(x) = 6x + (1/2)x^2 * 8e^(x-4)

so g^-1(18) = 9.6211x10^6

is that what you were asking?