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Math Questions ?
Let y=f(x)be a function with domain D=(-inf,inf) and R=[-5, inf). Find the domain D and range R for the following functions and enter your answers using interval notation.
a)1/2f(-x)+3
Domain: (-inf,inf)
Range: ?
1 Answer
- az_lenderLv 73 weeks ago
I assume that means (1/2)*f(-x) + 3.
The change from f(x) to f(-x) has no effect on the domain and no effect on the range. It simply reflects the graph across the y-axis, that is, horizontally. The (1/2) would reduce the range from [-5,inf) to [-2.5,inf), but then the +3 changes the range from [-2.5,inf) to [+0.5,inf).
Answer: D = (-inf,inf), R = [+0.5,inf).