3 years ago

Suppose f(x)=6x-2 and g(x)=2x+4). Find each of the following functions.

Mathematics

1 answer:

makvit [3.9K]3 years ago

8 0

a. (f+g)(x) = 8x+2

b. (f-g)(x) = 4x-6

Step-by-step explanation:

Given

$f(x) = 6x-2\\and\\g(x)=2x+4$

a. (f+g)(x)

$(f+g)(x)=f(x)+g(x)\\=6x-2+(2x+4)\\=6x-2+2x+4\\=6x+2x-2+4\\=8x+2$

b. (f-g)(x)

$(f-g)(x)=f(x)-g(x)\\=(6x-2)-(2x+4)\\=6x-2-2x-4\\=6x-2x-2-4\\=4x-6$

Hence,

a. (f+g)(x) = 8x+2

b. (f-g)(x) = 4x-6

Keywords: Functions

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