True or False? 1) The graph of sin^-1(x+1) never touches the y-axis 2) If f(x) is a function and f(a) = f(b), then a = b 3) The range of f(x) = 1 is a single point 4) The domain of f(x) = 1/(x^3+1) is the set of all real number except -1 5) If a = b then 2^a = 2^b and (1/2)^a = (1/2)^b 6) Cos(x - (PI/2)) = cos ((PI/2) - x) for all real numbers x 7) 2^n - 2^n-1 = 2^n-1 whenever n is an integer 8) log4(x-1)^2 = 2log(x-1) + log 2 whenever x>1 THANK YOU!!
1) not sure but i think its false 2) false 3) true 4) true 5) true 6) false 7) true 8) can't do logs >.<
6 is true, because of the property cos y = cos (-y) 7. I'm assuming there should be brackets, making the statement 2^n - 2^(n-1) = 2^n-1, in that case, it's true 8. false, UNLESS the logs on the right side of the statement are of base 2
wow is school really that lazy now that they make your math questions into true/false? what happen to show your work and doing real calculations -.-
just wait for a few years, the schools gonna make u write an essay about math rather than solving it.
cosine is an even function so its false. sine is an odd function so it works for sine not cosine ps. nvm ur right.
3. false the range of f(x) = 1, is a set containing 1 element, R = {1} unless u consider a set of size 1 a POINT, and for that u have to define your geometry to be so first. Point is defined to be an element in a geometrically described set.
