Question

Let f(x) = 2x+3 and g(x) = -x^2 + 5 Find (f of g)(x)

Answer 1

fg(x)
f(g(x))
f( -x^2 + 5)
2( -x^2 + 5)+3

Answer 2

(f of g)(x) => f(g(x))

Insert x=g(x) for f(x)

f(g(x)) = 2*g(x) + 3
= 2(-x^2 + 5) + 3
= -2x^2 + 10 + 3
= -2x^2 + 13

Answer 3

Thank you both! I really appreciate it.