Question

Composite functions
g(d) = 2d - 5
h(d) = -4d +3
Find (hºg)(d)

Answer 1

`(h\circ g)(d)=-8d +23`

Explanation:

Composite Function

Given g(d) and h(d) real functions, the composite function named (hog)(d) is defined as:

`(h\circ g)(d)=h(g(x))`

For practical purposes, it can be found by substituting g into h.

The functions g and h are given as:

`g(d) = 2d - 5`

`h(d) = -4d +3`

Substituting g into h:

`(h\circ g)(d)=-4(2d - 5) +3`

Operating:

`(h\circ g)(d)=-8d +20 +3`

`\boxed{(h\circ g)(d)=-8d +23}`