Jx + 5. If | x-5, if Is a child function defined by?

Find the value of 'a' and 'b' such that the function defined by : f(x)={{:(5", if "xle2),(ax+b", if "2ltxlt5),(20", if "xge5):} is a continuous function.

Find the values of a and b such that the function defined by ' f(x)={5, if x<=2;ax+b if 2=10; is a continuous function.

If 'f' is an invertible function, defined as f(x)=(3x-4)/5, write f^(-1)(x)

If f is an invertible function, defined as f(x)= (3x-4)/(5) then write f^(-1) (x).

If A=R-{(3)/(5)} and function f:AtoA is defined by f(x)=(3x+2)/(5x-3) , then

If f and g are real functions defined by f(x)= x^(2) + 7 and g(x)= 3x + 5 . Then, find each of the following (f(t)- f(5))/(t-5) , if t ne 5