In Exercises 27–38, evaluate each function at the given values of...

Question

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify.f(x)=4x+5

b. f(x + 1)

Accepted Answer

Hello today we're going to be evaluating the function with our given input value. So the function is f of X is equal to three X minus 11. And we want to evaluate this for the function F of X plus eight. Now in order to do that we're gonna take our new input value X plus eight. And we're going to input it to F of X. And doing so is going to replace every value within f of X with our new input value. So f of the quantity X-plus eight is going to equal 23 times the quantity X plus eight And that's gonna -11. Now all we need to do is go ahead and simplify this. So in order to do that we're gonna distribute three into the quantity X plus eight. And doing so is going to give me three X plus minus 11. Now we just need to go ahead and combine the like terms while 24 minus 11 is going to give us the value of 13. So F of X plus eight is going to equal to three X plus 13. And this is going to be our solution. And that means that the answer to this problem is going to be a so I hope this video helps you in understanding how to evaluate this type of function and I'll go ahead and see you all in the next video

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In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify.f(x)=4x+5 b. f(x + 1)