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(-1.68)

Accepted Answer

Hello, everyone. We've been asked to determine G of negative 59/100 for G of X equals 1/9 raised to the X power. We're going to approximate the answer to the nearest 1000th. If required our answer choices are a 111 thousands B 56 hundreds C 273 1000th D three and 656 1000th. Recall that in function notation, the value in the parentheses is what we are substituting in for X. So in this example, G of negative 0.59 means we are putting negative 0.59 in for X. So we will have 1/9 raised to the negative zero point 5/9 power. You should use a calculator to find what the value of this is when doing. So, make sure you put the 1/9 in parentheses before putting the exponent on it. So when I put this in my calculator, I get 3.655973, our directions say to round to the nearest 1000 which is the third place. So we're gonna round that five up to a six and we get three and 656 1000th as our answer, 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(-1.68)