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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

Respuesta :

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

Step-by-step 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

[tex]g(x)-h(x)\\\\=-4x+5-6x\\\\=-10x+5[/tex]

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

[tex]g(x)+h(x)\\\\=-4x+5+6x\\\\=2x+5[/tex]

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

[tex]-10(3)+5\\\\=-30+5\\\\=-25[/tex]

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

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