Question

Suppose that the functions g and h are defined for all real numbers r as follows. gx) -4x +5 h (x) = 6x write the expressions for (g-h)(x) and (g+h)(x) and evaluate (g-h)(3). 2 o e m,曲 pe here to search

Answer 1

Answer: Our required values would be -10x+5, 2x+5 and -25.

Explanation:

Since we have given that

g(x) = -4x+5

and

h(x) = 6x

We need to find (g-h)(x) and (g+h)(x).

So, (g-h)(x) is given by

`g(x)-h(x)\\\\=-4x+5-6x\\\\=-10x+5`

and (g+h)(x) is given by

`g(x)+h(x)\\\\=-4x+5+6x\\\\=2x+5`

and (g-h)(3) is given by

`-10(3)+5\\\\=-30+5\\\\=-25`

Hence, our required values would be -10x+5, 2x+5 and -25.