Question

If g(x)=x2 - 5 and 1(x)=7x-11, then what is the value of h(g(3)) ?

Answer 1

The value of h(g(3)) is 17.

Explanation:

We are given these following functions:

`g(x) = x^2 - 5`

`h(x) = 7x - 11`

h(g(3)) ?

`h(g(x)) = h(x^2-5) = 7(x^2-5) - 11 = 7x^2 - 35 - 11 = 7x^2 - 46`

At x = 3

`h(g(3)) = 7(3)^2 - 46 = 63 - 46 = 17`.

The value of h(g(3)) is 17.