Question

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

Answer 1

Answer:

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

Step-by-step 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:

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

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