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QuestionFind (h+g)(10)(h+g)(10) where h(x)=3x+3h(x)=3x+3 and g(x)=−4x+1g(x)=-4x+1.

Studdy Solution

STEP 1

Assumptions1. The function h(x) is given by h(x) =3x +3. The function g(x) is given by g(x) = -4x +13. We are asked to find the value of (h+g)(10), which means we need to find the sum of h(10) and g(10)

STEP 2

First, we need to find the value of h(10). We can do this by substituting x =10 into the equation for h(x).
h(10)=(10)+h(10) =(10) +

STEP 3

Calculate the value of h(10).
h(10)=3(10)+3=30+3=33h(10) =3(10) +3 =30 +3 =33

STEP 4

Next, we need to find the value of g(10). We can do this by substituting x =10 into the equation for g(x).
g(10)=−4(10)+1g(10) = -4(10) +1

STEP 5

Calculate the value of g(10).
g(10)=−4(10)+1=−40+1=−39g(10) = -4(10) +1 = -40 +1 = -39

STEP 6

Now that we have the values of h(10) and g(10), we can find the value of (h+g)(10). This is done by adding the values of h(10) and g(10).
(h+g)(10)=h(10)+g(10)(h+g)(10) = h(10) + g(10)

STEP 7

Substitute the values of h(10) and g(10) into the equation.
(h+g)(10)=33+(−39)(h+g)(10) =33 + (-39)

STEP 8

Calculate the value of (h+g)(10).
(h+g)(10)=33+(−39)=−6(h+g)(10) =33 + (-39) = -6The value of (h+g)(10) is -6.

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