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# C3- domain, range and inverse functions

1. Hi,

I'm struggling with the domain and range for some more complicated functions. I've been doing them by looking at the graph but I don't know how to do it without one.

1. (e^x)^1/2
2. (2x^1/2) +1
3. e^2x+1
4. Inverse e^x
5. Inverse 2x+1

And how to find the inverse function of a trigonometric function e.g. 2cos^-1 (x-1).

Thanks
2. (Original post by VioletPhillippo)
Hi,

I'm struggling with the domain and range for some more complicated functions. I've been doing them by looking at the graph but I don't know how to do it without one.

1. (e^x)^1/2
2. (2x^1/2) +1
3. e^2x+1
4. Inverse e^x
5. Inverse 2x+1

And how to find the inverse function of a trigonometric function e.g. 2cos^-1 (x-1).

Thanks
The first 3 are just transformations of so the range and domain are effected by these same transformations.

Inverse of is and you learn this in the module, the range and domain swap.

Domain is the range, and the range is domain for the inverses. They swap.

You learn trig ones in the module as well.

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