Question

1.) If f(x) = 3x + 5 and g(x) = 5 - x, then g(f(x)) = 10 + 3x. True or False?

My answer: True

2.) If f(x)=x+2 and g(x)=4-x^2, then f(g(x))=-x^2+6? True or False?

My answer: False

3.) If f(x)=x^2 and g(x)=x-1, then f(g(x))=(x-1)^2, which is x^2-2x+1 when FOILED out? True or False?

My answer: False

Answer 1

g(f) = 5-f = 5-(3x+5) = -3x

f(g) = g+2 = (4-x^2)+2 = 6-x^2

f(g) = g^2 = (x-1)^2 = x^2-2x+1

Hmmm.