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.