Let f(x) = -2x - 7 and g(x) = -4x + 3. Find (fog)(-5)?

Solution:

A function that depends on any other function is called a composite function.

A composite function is created by composing one function within another function.

Given, f(x) = -2x - 7

g(x) = -4x + 3

We have to find (fog)(-5).

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

f(g(x)) = f(-4x + 3)

= -2(-4x + 3) - 7

= 8x - 6 - 7

(fog)(x) = 8x - 13

Now, put x = -5 in the above equation,

(fog)(-5) = 8(-5) - 13

= -40 - 13

= -53

Therefore, (fog)(-5) = -53.

---

Let f(x) = -2x - 7 and g(x) = -4x + 3. Find (fog)(-5)?

Summary:

Let f(x) = -2x - 7 and g(x) = -4x + 3, then (fog)(-5) is -53.