How is domain of the function f(x)=cosx restricted so that its inverse function exists?
1 answer:
Answer:
see below
Step-by-step explanation:
The largest interval for x ≥ 0 where cos(x) passes the horizontal line test is [0, π]. Hence the domain must be restricted to that interval if the function is to have an inverse that gives values in the range [0, π].
The domain of the function is the same as the range of the inverse function. Restricting the cos(x) function domain to x ∈ [0, π] restricts the range (functional values) of the inverse function to the same interval.
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1 112/165 because you have to have common denominators refer to image for work
The charge Q is 512 c.
Step-by-step explanation:
Step 1:
The equation is , where q and Q are the charges, R is the distance between the charges, and F is the force between the charges.
From the question, we have;
F = 40 Newton, R = 16 m and q = 20 C.
We need to calculate Q.
Step 2:
By substituting the values of F, R, and q in the equation, we get
.
We cross multiply to solve Q.
So Q = 512 C.