Let f:R`rarr R` be defined by f(x) = `x^(2)` +1 Then, find pre-images of 17 and - 3.

If f: R rarr R is defined by f(x) = 3x + 2 define f (f (x))

Let f:N to N be defined by f(x) =x+2 . Then, find whether f is injective.

Let f : R rarr R be defined by f (x) = (x)/(sqrt(1+x^(2))) AA x in R . Then find ( fofof ) (x) . Also show that fof ne f^(2) .

Let f:RrightarrowR be defined as f(x)=3x . Then f is one-one and onto

Find whether the function f: Z rarr Z , defined by f(x) = x^(2) +5, AA x in Z is one-one or not.

Let f: R rarr R be defined by f(x) = 2x - 3 and g: R rarr R be defined by g(x) = (x+3)/(2) , show that fogʻ= I_(R)

Show that the function f : R rarr R defined as f(x) = x^(2) is neither one-one nor onto.

Mark as true (T) or false (F). Let f:RrightarrowR is defined by f(x)=x^2+1 . Then f^(-1)(17)={4,-4} .

If F : R rarr R is given by f(x) = (3-x^(3))^(1//3) then find ( fof ) x .