Problem

Given the functions below, find (g+h)(1).
g(x)=x2+4+2xh(x)=3x+2
12
6
6
8

Answer

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Answer

So, the value of (g+h)(1) is 6.

Steps

Step 1 :Given the functions g(x)=x2+4+2x and h(x)=3x+2, we are asked to find the value of (g+h)(1). This means we need to find the sum of the functions g(x) and h(x) at x=1.

Step 2 :First, we find the value of g(1) by substituting x=1 into the function g(x). This gives us g(1)=12+4+2(1)=7.

Step 3 :Next, we find the value of h(1) by substituting x=1 into the function h(x). This gives us h(1)=3(1)+2=1.

Step 4 :Finally, we add these two values together to get the final answer. This gives us (g+h)(1)=g(1)+h(1)=7+(1)=6.

Step 5 :So, the value of (g+h)(1) is 6.

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