Let g (x) = 2x and h (x) = x^2 + 4. Find the value. (hog) (-5)

Question

Mathematics

Jaidyn Bentley

11 February, 07:50

Let g (x) = 2x and h (x) = x^2 + 4. Find the value. (hog) (-5)

+3

Answers (1)

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Lexie Hawkins · Answer 1

(h o g) (-5) means the composition of the two functions, or h [ (g (-5) ].

This is, you first calculate g (-5) and then h [ g (-5) ].

So, g (-5) = 2 * ( - 5) = - 10

And h (-10) = (-10) ^2 + 4 = 100 + 4 = 104.

In this kind of problems it is important that you keep the order of the functions: first you use the inner function, which in this case is g (x).