Question

If fx) = 3* + 10x and x) = 4x - 2, find (f+ g)(x).​

Answer 1

`\boxed {\boxed {\sf B. \ 3^x + 14x-2}}`

Explanation:

We are given 2 functions:

• f(x)= 3ˣ + 10x
• g(x)= 4x-2

We are asked to find (f+g)(x) or f(x)+ g(x). Essentially, we are finding the sum of the functions.

`(f+g)(x)=f(x)+ g(x)`

`(f+g)(x)=(3^x + 10x) + (4x-2)`

`(f+g)(x)= 3^x + 10x + 4x -2`

Simplify the expression by combining like terms. There are 2 terms with a variable of x, so they can be added together.

`(f+g)(x)= 3^x + ( 10x + 4x) -2`

`(f+g)(x)= 3^x + 14x -2`

The sum of the functions f(x) and g(x) is 3ˣ + 14x -2 and choice B is correct.