Question

If f (x) = 3x^2 - 8x + 4 and g(x) = 4x^2 - 7x + 3 , then find f(x) + g(x)

Answer 1

If f (x) = 3x^2 - 8x + 4 and g(x) = 4x^2 - 7x + 3 , then f(x) + g(x) is $7x^2 - 15x + 7$

Solution:

Given that f(x) = 3x^2 - 8x + 4 and g(x) = 4x^2 - 7x + 3

To find: f(x) + g(x)

We can add or subtract two functions to create a new function. Just like we can add and subtract numbers, we can add and subtract functions.

f(x) + g(x) can be found by adding f(x) and g(x)

$f(x) + g(x) = 3x^2 - 8x + 4 + 4x^2 - 7x + 3$

Combing like terms,

$f(x) + g(x) = 3x^2 + 4x^2 -7x - 8x + 3 + 4\\\\f(x) + g(x) = 7x^2 - 15x + 7$

Thus the required function f(x) + g(x) can be found