Studdy AI Logo
Math  /  Algebra

QuestionThe graph of two functions, f and g , is illustrated below. Use the graph to answer parts (a) through ( f ). (a) (f+g)(3)=(\mathrm{f}+\mathrm{g})(3)= □\square (Simplify your answer.)

Studdy Solution

STEP 1

1. We are given the values of the functions f(x) f(x) and g(x) g(x) at x=3 x = 3 .
2. We need to find the value of the sum of the functions (f+g)(3) (f + g)(3) .
3. The operation (f+g)(x) (f + g)(x) represents the sum of the function values at a specific x x .

STEP 2

1. Identify the values of f(3) f(3) and g(3) g(3) from the graph.
2. Calculate the sum (f+g)(3) (f + g)(3) .

STEP 3

From the graph, identify the value of f(3) f(3) . According to the image description, f(3)=4 f(3) = 4 .

STEP 4

From the graph, identify the value of g(3) g(3) . According to the image description, g(3)=1 g(3) = 1 .

STEP 5

Calculate the sum (f+g)(3) (f + g)(3) by adding the values obtained:
(f+g)(3)=f(3)+g(3)=4+1 (f + g)(3) = f(3) + g(3) = 4 + 1

STEP 6

Simplify the expression:
4+1=5 4 + 1 = 5
Thus, (f+g)(3)=5 (f + g)(3) = 5 .
The value of (f+g)(3) (f + g)(3) is 5\boxed{5}.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord