Question

For f(x)=4x+1 and g(x)=x^2-5 find (fog)(x)

Answer 1

(fog)(x)= f(g(x))= 4(x^2-5)+1= (4•x^2)-20+1=

(4•x^2)-19

Answer 2

Answer:

(fog)(x) = $4x^{2}-19$

Step-by-step explanation:

The given functions are f(x) = 4x + 1 and g(x) = $x^{2}-5$

We have to find the value of (fog)(x).

Since (fog)(x) = f[g(x)]

It means we have to find the value of f(x) for the value of x = g(x)

Now f[g(x)] = $4[x^{2}-5]+1$

                 = $4x^{2}-20+1$

                 = $4x^{2}-19$

Therefore, f[g(x)] = $4x^{2}-19$ will be the answer.