If `f(x)=x^(2)+4x-5andA={:[(1,2),(4,-3)]:}`, then f(A) is equal to

(i) if A=[{:(1,-1),(2,3):}], then show that A^(2)-4A+5I=O. (ii) if f(x)=x^(2)+3x-5and A=[{:(2,-1),(4,3):}], then find f(A).

If f(x+4) = x^(2) - 1 , then f(x) is equal to

If g(x)=x ^2 +x−1 and (gof)(x)=4x^2−10x+5 , then f(5/4 ) is equal to:

If g(x)=x^3+x-2 and g(f(x))=x^3+3x^2+4x then f(1)+f(2) is equal to ________

If n be a natural number define polynomial f_(n)(x) of n^(th) degree as follows f_(n)(costheta)cosntheta i.e. f_(2)(x)=2x^(2)-1 f_(3)(x)=4x^(3)-3x_(1) Then f_(6)(x) is equal to

If g(x)=x^2-1 and gof (x)= x^2+4x+3 , then f(1/2) is equal (f (x) gt 0 AA x in R) :

If f(x) =(x-4)/(2sqrt(x)) , then f^(')(1) is equal to

Let f(x) polynomial of degree 5 with leading coefficient unity such that f(1)=5, f(2)=4,f(3)=3,f(4)=2,f(5)=1, then f(6) is equal to

If f(x)=7x^(4)-2x^(3)-8x-5 find f(-1)

If f(x) = (x-4) / (2sqrtx) , then f' (4) is equal to