Math  /  Algebra

QuestionCalculate f(4)+g(4)f(4)+g(4) for f(x)=3x+2f(x)=-3x+2 and g(x)=x2+4x7g(x)=x^2+4x-7.

Studdy Solution
Assumptions1. We are given two functions, f(x)=3x+f(x)=-3 x+ and g(x)=x+4x7g(x)=x^{}+4 x-7. . We need to find the value of f(4)+g(4)f(4)+g(4).
to find the value of f(4)f(4). We can do this by substituting x=4x=4 into the function f(x)f(x).
f(4)=3(4)+f(4) = -3(4) +3Calculate the value of f(4)f(4).
f(4)=3(4)+=12+=10f(4) = -3(4) + = -12 + = -104Next, we need to find the value of g(4)g(4). We can do this by substituting x=4x=4 into the function g(x)g(x).
g(4)=(4)+4(4)7g(4) = (4)^{} +4(4) -75Calculate the value of g(4)g(4).
g(4)=(4)+4(4)7=16+167=25g(4) = (4)^{} +4(4) -7 =16 +16 -7 =256Now that we have the values of f(4)f(4) and g(4)g(4), we can find the value of f(4)+g(4)f(4)+g(4).
f(4)+g(4)=10+25f(4)+g(4) = -10 +257Calculate the value of f(4)+g(4)f(4)+g(4).
f(4)+g(4)=10+25=15f(4)+g(4) = -10 +25 =15So, f(4)+g(4)=15f(4)+g(4) =15.

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