Question

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

Answer 1

Answer:

Option 4th is correct

$3(x^2+1)+2$

Step-by-step explanation:

Given the functions:

$f(x) = 3x+2$ and $g(x) = x^2+1$

We have to find the $(f o g)(x)$

$(f o g)(x) = f(g(x))$

Substitute the given function of g(x) we have;

$(f o g)(x)=f(x^2+1)$

Replace $x$ with $x^2+1$ in fucntion f(x) we have;

$f(x^2+1) =3(x^2+1)+2$

therefore, the expression is equivalent to  $(f o g)(x)$ is, $3(x^2+1)+2$

Answer 2

It means f(x) is composed of g(x)

f(g(x)) = 3g(x) + 2
= 3(x^2 + 1) + 2

3(x 2 + 1) + 2 is the answer (fourth choices)