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. ƒ(-5/2)

Accepted Answer

Hello, everyone. We've been asked to determine F of negative one half for the function F of X equals 15 raised to the X power. We are going to approximate the answer to the nearest 1000th. If required our answer choices are a 258 1000th B 67/1000 C three and 873 1000th D seven and 5/10 recall that when we have function notation F of negative one half means that we want to plug negative one half in for X in the F of X function. So in this case, we are gonna have 15 raised to the negative one half power at this point, we can first try to see if it can be done out without a calculator or you are welcome to plug this into a calculator. Be careful when you do so to put parentheses around your fraction in my calculator. This comes out to 0. and it continues indefinitely. So we will need to round our answer to the nearest 1000. The first eight is in the 1000th place. So when we round this, we get 0.258, which can also be read as 258,000, which is answer choice A 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. ƒ(-5/2)