MATH SOLVE

3 months ago

Q:
# Suppose that the functions g and h are defined for all real numbers x as follows.g(x) = 4xβ 4h(x) = x-5Write the expressions for (g+h)(x) and (g-h)(x) and evaluate (g.h)(1).

Accepted Solution

A:

Answer:See below in bold.Step-by-step explanation:(g + h)(x) = 4x - 4 + x - 5= 5x - 9.(g - h)(x) = 4x - 4 - (x - 5) Β ( Note we put the x - 5 in parentheses)= 4x - 4 - x + 5= Β 3x + 1.(g.h)(x) = (4x - 4)(x - 5) so (g.h)(1) = (4(1) - 4)(1 - 5)= 0 * -4= 0.