Question

F(x) = x⁵+3x³+7x+2.If g(x) = f(x)⁻¹ and f(1) = 13, what is the value of g(13)?

Answer 1

To find the value of g(13), we first find the value of f(13) and then calculate the inverse of f(13) to find g(13). The value of g(13) is approximately 0.00002688.

Step-by-step explanation:

To find the value of g(13), we first need to find the value of f(13). Given that f(x) = x⁵+3x³+7x+2, we substitute x = 13 into the equation:

f(13) = (13)⁵ + 3(13)³ + 7(13) + 2

Calculating this expression gives us f(13) = 37188.

Now, we can find the value of g(13) by finding the inverse of f(13):

g(x) = f(x)⁻¹ = 1 / (x⁵+3x³+7x+2)

Substituting x = 13 into the equation, we have:

g(13) = 1 / (37188)

Therefore, the value of g(13) is approximately 0.00002688.