Question

F(x) = 4x+3x
g(x) = 2x-5
7. Find (f+9) (x)
8. Find (f - g) (x)

Answer 1

Answer:

7. $(f+g)(x) = 6x - 2$

8. $(f-g)(x) = 2x + 8$

Step-by-step explanation:

We are given two function, f(x) and g(x).

We want to find their addition and their subtraction, and we do this combining like terms.

The functions are:

$f(x) = 4x + 3$

$g(x) = 2x - 5$

7. Find (f+9) (x)

$4x + 3 + 2x - 5 = 4x + 2x + 3 - 5 = 6x - 2$

So

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

8. Find (f - g) (x)

$4x + 3 - (2x - 5) = 4x + 3 - 2x + 5 = 4x - 2x + 3 + 5 = 2x + 8$

So

$(f-g)(x) = 2x + 8$