Question

Given f(x) = 4x + 1 and g(x) = x^, choose the expression for (fᵒg)(x).

Answer 1

Answer: 4x^2 + 1

Step-by-step explanation:

I am assuming g(x) = x^2

4(x^2) + 1

4x^2 + 1

Answer 2

Answer:

$(fog)(x)=4x^2+1$

Step-by-step explanation:

Assume $g(x)=x^2$

$(fog)(x)$ is a composition of two functions such that $(fog)(x)=f(g(x))$.

Consider the function:

$f(x)=4x+1$

Replace $x$ with $g(x)$ into the equation:

$f(g(x))=4\cdot g(x)+1$

Substitute $g(x)=x^2$ on the right side of the equation:

$f(g(x))=4\cdot x^2+1$

Therefore, the expression for $(fog)(x)$ is $4x^2+1$.