Questions: If (g(x)=left(frac15right)^x), find (g(2.95))
(g(2.95)=)
Transcript text: If $g(x)=\left(\frac{1}{5}\right)^{x}$, find $g(2.95)$
\[
g(2.95)=
\]
$\square$
Solution
Solution Steps
To find g(2.95) for the function g(x)=(51)x, we need to evaluate the expression by substituting x=2.95 into the function. This involves calculating the power of a fraction, which can be done using Python's exponentiation capabilities.
Step 1: Define the Function
We start with the function defined as g(x)=(51)x.
Step 2: Substitute the Value
To find g(2.95), we substitute x=2.95 into the function:
g(2.95)=(51)2.95
Step 3: Calculate the Result
Evaluating the expression gives us:
g(2.95)≈0.008670387093874944
Rounding this result to the nearest thousandth, we find:
g(2.95)≈0.009