Question

g(x) = 15 – 4x
h(x) = x +8
Write g(h(x)) as an expression in terms of 2.

Answer 1

For this case we have the following functions:

$g (x) = 15-4x\\h (x) = x + 8$

We must find$g (h (x))$when $x = 2$.

So:

$g (h (x)) = 15-4 (x + 8) =$

We apply distributive property to the terms within parentheses taking into account that:

$- * + = -\\15-4x-32 =$

We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:

$-17-4x$

Thus, we have to:

$g (h (x)) = - 17-4x$

Then, with x = 2:

$g (h (2)) = - 17-4 (2) = - 17-8 = -25$

Equal signs are added and the same sign is placed.

Answer:

$g (h (2)) = - 25$