Problem

If $f(x)=8^{x^{2}-6}-2$, what is the value of $f(-2)$, to the nearest hundredth (if necessary)?

Solution

Step 1 :The problem is asking for the value of the function \(f(x) = 8^{x^{2}-6}-2\) when \(x=-2\).

Step 2 :To find this, we substitute \(x=-2\) into the function.

Step 3 :So, \(f(-2) = 8^{(-2)^{2}-6}-2\).

Step 4 :Solving this, we get \(f(-2) = -1.984375\).

Step 5 :Rounding to the nearest hundredth, we get \(-1.98\).

Step 6 :Final Answer: The value of \(f(-2)\), to the nearest hundredth, is \(\boxed{-1.98}\).

From Solvely APP
Source: https://solvelyapp.com/problems/16838/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download