Suppose that the functions g and h are defined for all real numbers x as follows.
g(x) = 4x– 4
h(x) = x-5
write the expressions for (g+h)(x) and (g-h)(x) and evaluate (g. h)(1).

See below in bold.

Step-by-step explanation:

(g + h)(x) = 4x - 4 + x - 5

= 5x - 9.

(g - h)(x) = 4x - 4 - (x - 5)  ( Note we put the x - 5 in parentheses)

= 4x - 4 - x + 5

=  3x + 1.

(g.h)(x) = (4x - 4)(x - 5)

so (g.h)(1) = (4(1) - 4)(1 - 5)

= 0 * -4

= 0.

34

step-by-step explanation: