Function f`:RrarrR` are defined respectively,by `f(x)=x^2+3x+1,g(x)=2x-3`,find `fog`

Function f :RrarrR are defined respectively,by f(x)=x^2+3x+1,g(x)=2x-3 ,find gof

Let f,g: R rarr R be defined, respectively by f (x) = x + 1,g (x) = 2x -3 . find f + g,f - g and f/g

Let f, g: R rarr R be functions defined respectively by f(x)=x+1, g(x)=2 x-3 Find fg.

If f, g: R rarr R are defined by f(x)=x^2+3 x+1 , g(x)=2 x-3 , find (i) fog (ii)fof (iii) (gof) (2) (iv) (gog)(-5)

If f:RrarrR is defined by f(x) = x^2-3x+2 , find f(f(x))

A fuction f:RrarrR defined by f(x)=(2x-3)/7 . Find f^-1

Consider the function f:R rarr R defined by f(x)=|x-1| .(iii)If g(x)=|x+1| ,find (f+g) and (f-g).

if the function f : R rarrR be defined by f(x) = x^2 + 5x + 9 find f^(-1)(9).

Consider a function f:RrarrR defined by f(x)={(a+x,xle2),(b-x,x>2):} Find a and b if f is continuous at x=2 and a+b=2 .

Consider the following functions. f:ZrarrZ defined by f(x)=3x+7 and g:RrarrR defind by g(x)=2x-3 . Of the above two functions one is a bijective function and the other is not.Give reason.