Below is the graph of hx fg x where fx sin x and gx is a f

Below is the graph of h(x) - f(g) (x)), where f(x) = sin x and g(x) is a function of the form g(x) - a (x + b). (The x-values are in radians.). What equation represents g(x)? g(x) = 1/2 (x + 9) g(x) = 2 (x - 9) g(x) = 2 (x + 9) g(x) = 1/2 (x - 9) Given the functions f(x) - sin x and g(x) = Squareroot 2 + x, what is the value of g(f(pi))? Squareroot pi Squareroot 3 Squareroot 2 1

Solution

15) f(x) = sin x

g(x) = sqrt ( 2 + x )

g(f(x )) = sqrt ( 2 + sin x )

g (f (pi )) = sqrt ( 2 + sin pi )

= sqrt 2

( option c ) is correct