In general, if you're turning a question into a noun, whether tends to be preferred in formal use.
So this includes your example plus, e.g.:
The discussion was about [ whether climate change was an important issue].
The issue is [ whether we need to act now].
In informal usage, if is also possible in these cases.
It's important to understand that 'whether' and 'if' are not always interchangeable.
The word whether only has the meaning of "if ... or not" (though you can still use the formula whether ... or not for emphasis), so for example you can't use whether in this case:
If/*whether you decide to come, give me a call.
Another key difference is that whether can introduce an infinitive, whereas if can't (they're different parts of speech): They couldn't decide whether /*if to come.
english.stackexchange.com/users/4941/Neil Coffey
Whether is used to emphasis that one has two alternatives to pick from.
Merriam-Webster gives two definitions: 1.
archaic : which one of the two 2.
archaic : whichever one of the two
In the saddle example, there are three alternative results: too high, too low or just perfect.
It doesn't make much sense to check the saddle for being too high and not caring about too low.
english.stackexchange.com/users/3893/anonymous
Short answer is, yes, they are equivalent, simply because 'if' and 'whether' essentially mean the same thing in this regard.
Both are used to introduce indirect questions.
To expand further, whether is also used to state a certainty: 'I'm marrying Zooey Deschanel whether or not my girlfriend likes it!' for example.
english.stackexchange.com/users/None/
Let's make it simple and clear:
Whether - use this word for indicating 2 options
If - use this word to establish a condition for an action.
Informally, "if" is sometimes used when "whether" is the better word, and in many cases this doesn't lead to confusion.
This means that, informally, "if" is used in more than one way.
However, "whether" only has one meaning, so using "whether" when indicating options is preferred.
THUS: 1:
How to determine whether my saddle is too high.
(as in whether the saddle is too high or not--two options) 2: We should check whether everything is okay now.
(as in whether everything is okay or not--two options) Note: In both examples, the 2nd part of the expression "whether...or not" is implied.
This is quite common and quite acceptable when doing so doesn't reduce clarity.
This leads us to the next point.
You can correctly say "Whether you decide to come or not, give me a call."
The shortened form, with the implied part 2, is "Whether you decide to come, give me a call."
(I wouldn't write this because it reduces clarity.
I would use the complete expression.)
One last comment:
"Whether" doesn't need to be followed by a stated or implied "or not.
" The 2nd option could be any thing, as in "I don't know whether to buy cake or pickles."
english.stackexchange.com/users/13081/David Bowman
If is suggesting a condition , like "if it would be OK for you the RB to run with the ball behind the Tight End" "Whether" is for an alternative with only 2 exclusive options not 3."Whether the QB will throw or give the ball, you shall sack him down !"
The use of "if" would be stupid...
But we also have "whatever the QB does, you sack him : ie.
even before he moves or tries to pass...
" This has 3 options for the QB you target anyway.
We may also understand "Whether the Guard wants to stop you, goes backward or to the side, you rush & blow him".
Here : 3 options which are in fact 2 : The Guard runs toward you or not, you are instructed to get him, so we can use "whether" to charge you to deliver to the guy the kind of clear message we want.
"IF" you really have more than 2 options, try to do it without "whether".
"Whether the field will be dry, wet or snowy we shall play our game" sounds very bad.
So put it in an other way...
"If" could work, for a coach at least !
But we also have the mix
Whether/
If :"Whether/If I can jump over the Center, I'll run to the End zone".
"Whether
" because there are 2 scenari (yes or not)
;
"If" because there is a condition to run.
Am I clear ?
So let's go back on the line boys, we have the grammar to play :)
english.stackexchange.com/users/161029/DAVE
Are  if  and  whether  equivalent in sentences like the ones below?   How to determine if my saddle is too high?   How to determine whether my saddle is too high?       We should check if everything is okay now.   We should check whether everything is okay now.
When are "if" and "whether" equivalent?
english.stackexchange.com
<word-choice><if-whether>
english.stackexchange.com/questions/9520
english.stackexchange.com/users/740/Ivo Rossi
In general, it is agreed that "if" and "whether" are equivalent in this context. In general, "whether" is used to emphasis that one has two alternatives to pick from. However, "if" is sometimes used when "whether" is the better word without leading to much confusion. Some suggest that "whether" is the preferred form, if you are turning a noun into a question. Some suggest because a choice is being offered "whether" is the correct form ; here the choice is between too low, too high or just perfect. Some believe in this sentence they are the same and both are being used to introduce an indirect question. However, "whether" in some contexts can be used to indicate certainty. "I'm marrying my girlfriend whether they like it or not". "If" can also be a call to action, but sometimes people use "if" when "whether" is better.
In general, it is agreed that "if" and "whether" are equivalent in this context. In general, "whether" is used to emphasis that one has two alternatives to pick from. However, "if" is sometimes used when "whether" is the better word without leading to much confusion. They are the same and both are used to introduce indirect questions. "Whether"  is used to emphasise that one has two alternatives to pick from and may be preferable in formal use.
"Whether" and "if" are equivalent, and essentially mean the same thing in this regard. Yes, "if" and "whether" are equivalent in these cases.
"IF" you really have more than 2 options, try to do it without "whether".
"IF" you really have more than 2 options, try to do it without "whether".
The formal "whether" is the preferred form, if you a turning a noun into a questions. Choice is being offered in the sentence. "Whether" is used to indicate choice. The y are used to introduce an indirect question. "Whether" can be used to state  a certainty. "If" is a call to action.  Sometimes "if" used when "whether" is better.
Whether is preferred in formal use. Whether  is used to emphasise that one has two alternatives to pick from.   They are the same and both are used to introduce indirect questions.
Yes, "if" and "whether" are equivalent in these cases.