Question

Given f(x) = x + 4, g(x) = -2x^2 and h(x) = 5, find the value of: [g o f](10).

Then Using the functions
find [h o g](-2).

Answer 1

[g o f](10)= -392 [h o g](-2)= 5

Explanation:

Input the value (like 10 in the first one) into the first equation (f in the first one and g in the second one.) Then take the output of this and put it into the second part to get your answer.

Answer 2

To find the value of g o f, we need to first find the value of f(10) and then plug that value into g.

The value of f(10) is 10 + 4 = 14.

So, g o f = g(14) = -2 * 14^2 = -2 * 196 = -392

To find the value of h o g, we need to first find the value of g(-2) and then plug that value into h.

The value of g(-2) is -2 * (-2)^2 = -2 * 4 = -8

So, h o g = h(-8) = 5

Therefore, the value of h o g is 5.

Explanation: