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$73-78=$ Domain Find the domain of the function.$$f(x)=\log _{10}(x+3)$$
$D_{f}=(-3, \infty)$
Algebra
Chapter 4
Exponential and Logarithmic Functions
Section 3
Logarithmic Functions
Campbell University
Oregon State University
University of Michigan - Ann Arbor
Lectures
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$73-78=$ Domain Find the d…
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03:53
Find the domain of the fun…
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Domain Find the domain of …
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$59-64$ Find the domain of…
00:09
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Finding the Domain of a Fu…
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$77-78$ Domain and Range F…
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Hi, everyone, but this problem were asked to find the domain given a function. Since it's a lot of function, we can take a look of the parent function over here to help us determine our answer. The parent function is f of X equals log of X. And so, when graft, it looks something like this as we could see the domain here, his ex is greater than zero, and the main difference between our parent function are given function. Is this part of the function right here which is called the Argument. So, in order to determine the domain of a lot of function, we set the argument greater than zero. In this case, we get eight minus two exit spirit of zero. And then we just saw off Rex. So you subtract eight from both sides to get negative to X is greater than negative. And then we divide both sides by negative too. And since the equality is being divided by a negative, we flip the sign so we get X is less than four. We could also write this an interval notation where it is negative. Infinity comma four with open brackets, the domain of our function f of X equals log of eight minus two X is X is lesson for or negative infinity to four not inclusive.
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