Question

Suppose that the functions g and h are defined for all real numbers x as follows.

Answer 1

The expressions for (h+g)(x) and (h-g)(x) and evaluate (h-g) (4) is 9x-3 ,  x+3 and 7

What is a Function ?

A function is defined as the law that build relation between a dependent variable and an independent variable.

It is given that

functions g and h are defined for all real numbers x as follows.

g(x) = 5x

h(x) = 4x-3

the expressions for (h+g)(x)= ?

(h+g)(x)= 5x+4x-3

(h+g)(x)= 9x-3

and (h-g)(x) = ?

(h-g)(x) = 5x - 4x +3

(h-g)(x) = x+3

and evaluate (h-g) (4).

(h-g)(x) = x+3

at x = 4

(h-g)(4) = 4+3 = 7

Therefore the value for the functions have been determined.

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