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Supposed f(x) = 6x2 + 2x - 7 and g(x) = 4x- 3.

What is (f + g) (x)?
Hint - Add f(x) and g(x) & combine like terms.
Answer:
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1 answer

To find \((f + g)(x)\), we need to add the functions \(f(x)\) and \(g(x)\).

Given:

  • \(f(x) = 6x^2 + 2x - 7\)
  • \(g(x) = 4x - 3\)

We add the two functions:

\[ f(x) + g(x) = (6x^2 + 2x - 7) + (4x - 3) \]

Now we combine like terms:

  1. The \(x^2\) term: \(6x^2\)
  2. The \(x\) terms: \(2x + 4x = 6x\)
  3. The constant terms: \(-7 - 3 = -10\)

So, we have:

\[ (f + g)(x) = 6x^2 + 6x - 10 \]

Thus, \((f + g)(x) = 6x^2 + 6x - 10\).