January 07 C3

question 6a, what is the domain? i got it as all real values but the mark scheme doesn't show the answer

question 6a, what is the domain? i got it as all real values but the mark scheme doesn't show the answer

2-\frac{1}{2}e^x<2

If you subtract a positive number from 2 you get a number that is less than 2.

2-\frac{1}{2}e^x<2

If you subtract a positive number from 2 you get a number that is less than 2.

but is it not the range of f(x) and is the range of f(x) not y is any real number?

but is it not the range of f(x) and is the range of f(x) not y is any real number?

I may have answered the wrong part of the question. Sorry for any confusion caused.

f(x)=\ln(4-2x)

Domain x<2, range

f(x) \in R

f^{-1}(x)=2-\frac{1}{2}e^x

Domain

x \in R

, range f(x)<2.

I may have answered the wrong part of the question. Sorry for any confusion caused.

f(x)=\ln(4-2x)

Domain x<2, range

f(x) \in R

f^{-1}(x)=2-\frac{1}{2}e^x

Domain

x \in R

, range f(x)<2.

ahh okay all cleared up now, thanks!

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