We can't, because that is not the limit. If you intended to write lim_(x->10) 3-(4x)/5 = -5, then see explanation below. One of the first steps in checking the limit of a function at an x-value is seeing if …

The outside function is #cos x#, which has a derivative of #-sin x# The inside function is #sin 2x#. For the inside function, the chain rule can be used again. The outside is #sin x# and the inside is #2x# . …

The absolute value function does not have an inverse function. In order for a function f to have an inverse function, f cannot give the same values for two different domain values. (You can't get the …

Explanation: We need #a^2-b^2= (a+b) (a-b)# Let's rewrite the function by factorising # (x^2-1)/ (2-3x)= ( (x+1) (x-1))/ (2-3x)# Let #f (x)= ( (x+1) (x-1))/ (2-3x ...

The slope of a function's tangent line at a point is given by the function's derivative. So, we need to find the derivative of √x − 5 = (x −5)1 2. Note that d dx x1 2 = 1 2 x− 1 2. So, the chain rule states that if …

"R": {y inRR | y = -5} The range of a function in general, is a set of all possible values as the y-coordinate. By graphing (or simply looking) y=-5, we see that y is only -5, no matter the x-value. (It's …

When you graph this, the graph of the function will be symmetric in respect to the y- axis. If f (x)!=f (-x), you could check whether f (-x) equals -f (x). If it does, than the function is odd. If it doesn't, then the …

1 Answer Alan P. May 21, 2015 A function, #f (x)# is discontinuous at a point #x=hatx# if

Exponential function with a possibility of y=(1/4)^(x/50). => Where y is the possibility of getting it correct (consecutively). => Where x is the number of questions. It's a 1/4 chance of getting the question …

Mar 26, 2018 · There are at least two things implied by the assertion: " f (x) is invertible function ∀x ∈ [1,5] " f (x) is a function with domain including all of the real interval [1,5] For any x1,x2 ∈ [1,5] we …