Question

What is the value of g[f(4)] for the functions f(x) = 3x-5 and g(x) = 2-x^2

Answer 1

Answer: -47

Work Shown

f(x) = 3x-5

f(4) = 3*4-5

f(4) = 12-5

f(4) = 7

We can then replace f(4) with 7 to go from g[ f(4) ] to g(7)

g(x) = 2 - x^2

g(7) = 2 - 7^2

g(7) = 2 - 49

g(7) = -47