Mega FRQ 1

The function p is defined by p(x) = (n ∘ f)(x) = n(f(x)). Find the value of p(−5) , or indicate that it is not defined.

Mathematical Equivalence

ON

The function h is defined by h(x) = (m ∘ k)(x) = m(k(x)). Find the value of h(1) as a decimal approximation, or indicate that it is not defined.

Mathematical Equivalence

ON

Find all values of x for which j(x) = 1, or indicate there are no such values.

Find all values of x for which k(x) = −4, or indicate there are no such values.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

(B) (i) Find all values of x, as decimal approximations, for which m(x) = 5, or indicate there are no such values.

(B) (ii) Find all values of x, as decimal approximations, for which m(x) = 2, or indicate there are no such values.

(B) (iii) Find all values of x, as decimal approximations, for which n(x) = -2.8, or indicate there are no such values.