For ƒ(x) = 3^x and g(x)= (1/4)^x find each of the following. Roun...

Question

For ƒ(x) = 3^x and g(x)= (1/4)^x find each of the following. Round answers to the nearest thousandth as needed. See Example 1. g(2)

Accepted Answer

Hello, everyone. We've been asked to determine G of one for the function G of X equals 1/9 raised to the X power. We are going to approximate the answer to the nearest 1000. If required our answer choices are a 101 1000th B 1/100 C 11 thousands D 111, recall that in function notation, G of one means we want to put one in for X in the G of X function. So this would be 1/9 raised to the first power. Recall that anything raised to the first power is itself. So G of one equals 1/9. And if we were looking for a fractional answer, this would be our answer. However, we are looking for a decimal answer. So in a calculator, I'm going to divide one by nine to find the decimal equivalent. And when I do so I get 0. and so on. So we are asked to round to the nearest 1000. So that is the third decimal place. So when rounded, this would be 0.111, which could be read as 111 1000th which is answer choice. D have a nice day.

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For ƒ(x) = 3^x and g(x)= (1/4)^x find each of the following. Round answers to the nearest thousandth as needed. See Example 1. g(2)