Mathematics Tes...

If f : R → R is given by f(x) = (5 + x⁴)^1/4, then fοf(x) is _______

Let ‘*’ be a binary operation on N defined by a * b =a - b + ab², then find 4 * 5.

[-1, 1] is the domain for which of the following inverse trigonometric functions?

A function is invertible if it is ____________

Let M={7,8,9}. Determine which of the following functions is invertible for f:M→M.

Let R be a relation in the set N given by R={(a,b): a+b=5, b>1}. Which of the following will satisfy the given relation?

If f: N→N, g: N→N and h: N→R is defined f(x) = 3x - 5, g(y) = 6y2 and h(z) = tan⁡z, find ho(gof).

Let ‘*’ be defined on the set N. Which of the following are both commutative and associative?

Let ‘*’ be a binary operation defined by a * b = 4ab. Find (a * b) * a.