Questions: Find (f+g)(x) if f(x)=4x^2-5x and g(x)=3x^2+6x-4.

Transcript text: Find $(f+g)(x)$ if $f(x)=4 x^{2}-5 x$ and $g(x)=3 x^{2}+6 x-4$.

Solution

Step 1: Identify the Functions

We are given two functions: $f(x) = 4x^2 - 5x$ $g(x) = 3x^2 + 6x - 4$

Step 2: Add the Functions

To find $(f+g)(x)$ , we add the two functions: $(f+g)(x) = f(x) + g(x) = (4x^2 - 5x) + (3x^2 + 6x - 4)$

Step 3: Combine Like Terms

Combine the like terms:

Thus, $(f+g)(x) = 7x^2 + x - 4$ .

The correct expression for $(f+g)(x)$ is: $\boxed{(f+g)(x) = 7x^2 + x - 4}$

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