What is the range of f(x) = a cos(x) +b or
g(x) = a sin(x)+b?

Step-by-step explanation:

The range of f(x) = cos(x) is [-1, 1].

That of f(x) = A cos(x)        is [-A, A], and

That of f(x) = A cos(x) + 2 is [ b-A, b+A ].

The function g(x) = A sin(x)+b has the same range.

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5