Question

Let g(x)= 3x and h(x)x^2+2. find (goh)(0)

Answer 1

(g o h) (0) = 6

Step-by-step explanation

g(x) = 3x

h(x) = x² + 2

We are then told to find (g o h) (0)

Normally, (g o h) (x) means writing g(x), but instead of x, we substitute h(x). That is,

(g o h) (x) = g[h(x)]

g(x) = 3x

h(x) = x² + 2

(g o h) (x) = g[h(x)]

= 3[h(x)]

= 3(x² + 2)

= 3x² + 6

(g o h) (0) means when x = 0

(g o h) (x) = 3x² + 6

(g o h) (0) = 3(0)² + 6

= 0 + 6

= 6

Hope this Helps!!!