Given that f ( x ) = 9 x − 4 and g ( x ) = − 6 , calculate

Question

(a) f(g(1)) =

(d) g(f(−6)) =

Answer 1

f(x) = 9x - 4

g(x) = -6

f[g(1)] = f(-6) = 9(-6) - 4 = -54 - 4 = -58

g[f(-6)] = g(-58) = -6

In the function of g, the output will be constant no matter what x-value (input) you plug in.