Help please
If f(x)=8x and g(x)=2x+1 find (fog)(x)
16x^2+8x
16x+1
16x+8
10x+1
(f◦g)(x) = f(g(x))
Since f(x) = 8x,
f(g) = 8g = 8(2x+1) = 16x+8
To find the composition of two functions f and g, denoted (fog)(x), you need to substitute the expression for g(x) into f(x) and simplify.
Given:
f(x) = 8x
g(x) = 2x + 1
To find (fog)(x), substitute g(x) into f(x):
(fog)(x) = f(g(x))
Replace f(x) with 8x and g(x) with 2x + 1:
= 8(2x + 1)
Now, distribute the 8:
= 16x + 8
Therefore, (fog)(x) = 16x + 8.
The correct answer is option C, 16x + 8.