Question

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (g0f) (x)

Answer 1

to what ?

Answer 2

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (GoF) (x)

Answer 3

Note: I am assuming that by g(x)= x2 + 1 you means g(x) = x^2 + 1 instead of (x*2) +1

gof(x) simply means that you will be replacing the "x" in in g(x) with f(x). Since

g(x) = x^2 + 1, then

gof(x) = (3x + 2)^2 + 1
= (3x + 2)(3x +2) +1
= 9x^2 + 6x + 6x +4 +1
= 9x^2 + 12x + 5
We hope this helps.


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