Functions Test ...

If $$f(x) = 4x - 3$$ and $$g(x) = x - 4$$, determine which of the following composite function has a value of $$-11$$.

If $$f(x) = x^{2} - 10$$ and $$g(x) = 4x + 3$$, calculate the value of $$f(g(2))$$.

Let f : $$N \rightarrow N$$ defined by $$f(n)=\left\{\begin{matrix}
\dfrac{n+1}{2} & \text{if }\, n \, \text{is odd} \\
\dfrac{n}{2} & \text{if}\, n \, \text{is even}
\end{matrix}\right.$$
then $$f$$ is.

If $$f: R\rightarrow R$$ is defined by $$f(x) = \dfrac {x}{x^{2} + 1}$$, find $$f(f(2))$$

If $$f(x) = 3x - 5$$ and $$g(x) = x^2 + 1, f [g(x)] =$$

If the function $$f : R \rightarrow R$$ is defined by $$f(x) = (x^2+1)^{35} \forall \in R$$, then $$f$$ is

Let $$f(x) = 2^{100}x+1$$
$$g(x) = 3^{100}x+1$$
Then the set of real numbers x such that $$f(g(x)) = x$$ is

If k is a positive constant different from 1, which of the following could be the graph of $$\displaystyle y-x=k(x+y)$$ in the xy-plane?

The Set $$A$$ has $$4$$ elements and the Set $$B$$ has $$5$$ elements then the number of injective mappings that can be defined from $$A$$ to $$B$$ is

Let $$f : R\rightarrow R$$ be defined by $$f(x) = \dfrac {1}{x} \ \   \forall  \ x \ \in \ R$$, then $$f$$ is _____