Question

Ur answer as a polynomial in standard form.=f(x) = 5x + 1g(x) = x2 – 3x + 12=Find: (fog)(x)

Answer 1

Answer:

(fog)(x) = 5x² - 15x + 61

Step-by-step explanation:

The given functions are:

f(x) = 5x + 1

g(x) = x² - 3x + 12

(fog)(x) = f(g(x))

This means that we are substituting g(x) into f(x)

(fog)(x) = 5(x² - 3x + 12) + 1

(fog)(x) = 5x² - 15x + 60 + 1

This can be further simplified as:

(fog)(x) = 5x² - 15x + 61