Which of the following is not an example of polynomial function ?
A polynomial function is a function which involves only non-negative integer powers or only positive integer exponents of a variable in an equation.
In option C, powers of x are negative and fractional.
Which of the following is incorrect?
Constant function, Domain: R; Range: R
In option C, range of constant function is a single value.
If f and g are two functions over real numbers defined as f(x) = 3x + 1, g(x) = x2 + 2, then find f-g
The function f : R → R defined by y = f(x) = 5 for each x ∈ R is
Since the value of y remains fixed i.e. y=5 for any value of input x. Therefore, f is a constant function.
f(x) = x is called
In mathematics, an identity function, also called an identity relation or identity map or identity transformation, is a function that always returns the same value that was used as its argument. In equations, the function is given by f(x) = x.
If f(x) = x2 and g(x) = x are two functions from R to R then (fg)(2) is
In any composite function f(g(x)), the output of the first function i.e. g(x) becomes the input of the second function f(x).
Here, the output of g(x) i.e. g(2)= 2. Therefore, this output will become the input of the function f(x) and yield f(g(2))= x2= 22= 4
The graph of the function f : R → R defined by f(x) = |x|
If monthly pay of salesman is 'y' and includes basic pay $200 plus a commission of $5 for every unit he sales then function for this can be written as
Let the no. of units sold be x.
Monthly pay: y = 200 + 5x
Which is not true for the graph of the real function y = x2:
Reason: The minimum value of x2= 0.
Since the square of any real number can’t be negative, it is either equal to or greater than zero.
If f(x) = x2 and g(x) = cosx, which of the following is true?