PLEASE ANYTHING HELPS!
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Hello.
So, you should already know that to find the inverse of a function you switch x and y and solve.
For f(x) = x² + 3, it's domain is all real numbers, and the range is y ≥ 3.
The inverse of f(x), it is
, and the equation is = ±√(x - 3). It's domain is x ≥ 3, and the range is all real numbers.
There are many unique characteristics about inverses, like the values of x and y are switched, it's reflected on the line y = x, and the domain and range is switched.
So your final answer is c. f(x) domain: all real numbers, range: y ≥ 3
domain: x ≥ 3, domain: all real numbers.
Hopefully it makes sense! :)
So, you should already know that to find the inverse of a function you switch x and y and solve.
For f(x) = x² + 3, it's domain is all real numbers, and the range is y ≥ 3.
The inverse of f(x), it is
There are many unique characteristics about inverses, like the values of x and y are switched, it's reflected on the line y = x, and the domain and range is switched.
So your final answer is c. f(x) domain: all real numbers, range: y ≥ 3
Hopefully it makes sense! :)