Could anyone help me find the domain and range of this equation please?

Question

john_es · Answer

You mean,
$$y=\frac{4}{6 x}+2$$ or
$$y=\frac{4}{6(x+2)}$$ ?

john_es · Answer

Or
$$y=(4/6)^{x-1}+2$$?

john_es · Answer

Ok, then the domain, of an exponential function, is easy, because it has all reals. There is no x where this function has problems. The function can be calculated for all x in reals.

anonymous · Answer

y=4(1/6)^(x−1)+2
domain includes values x can take so the domain is -inf to +inf
range is 2 to infinity

john_es · Answer

Sorry . You can check it here in this graph, http://www.wolframalpha.com/input/?i=Plot%5B4*%281%2F6%29%5E%28x-1%29%2B2%2C%7Bx%2C-2%2C2%7D%5D

john_es · Answer

$$D=\mathbb{R}$$
$$R=(2,\infty]$$

john_es · Answer

Because the function tries to approach 2, but never reach this value.

john_es · Answer

$$R=(2,\infty)$$
There must be a parenthesis at the right.

anonymous · Answer

@John_ES Awesome thanks so much, have a great night!