SOLUTION: Evaluate the indicated function, where f(x) = x2 − 6x + 6 and g(x) = 5x − 4. (f + g)(−7)

Click here to see ALL problems on Quadratic Equations

Question 1200649: Evaluate the indicated function, where
f(x) = x2 − 6x + 6
and
g(x) = 5x − 4.
(f + g)(−7)
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52780) (Show Source):
You can put this solution on YOUR website!
.

Compute f(-7) and g(-7) separately.

Then add these two numbers.

That's all what they want from you.

Answer by math_tutor2020(3816) (Show Source):
You can put this solution on YOUR website!

Answer: 58

=============================================================================

Work Shown:

Method 1

Given functions are

Add them and simplify

Then plug in x = -7

------------------------------

Method 2

Plug x = -7 into each function separately

and

Then add the two results

GeoGebra and Desmos are two great tools to quickly verify the answer.
Here's the link to the Desmos calculator results. Focus on the calculations in the left panel.
https://www.desmos.com/calculator/oqagw26fxj

WolframAlpha is another verification tool.
https://www.wolframalpha.com/input?i=f%28x%29%3Dx%5E2-6x%2B6%2Cg%28x%29%3D5x-4%2C+find+f%28-7%29%2Bg%28-7%29
I encourage you to explore other calculator options.
Try not to let them do 100% of the work for you, but rather use them as a verification tool at the end.