SOLUTION: The function g has defining equation g(x) = x^2-3x=2. Find (ans simplify) g(5=h). My answer: h^2-3h+12 (I don't know why this is wrong.)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The function g has defining equation g(x) = x^2-3x=2. Find (ans simplify) g(5=h). My answer: h^2-3h+12 (I don't know why this is wrong.)      Log On


   

Question 123128: The function g has defining equation g(x) = x^2-3x=2. Find (ans simplify) g(5=h).
My answer: h^2-3h+12 (I don't know why this is wrong.)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
g%28x%29+=+x%5E2-3x%2B2
Find:
g%285%2Bh%29 Substitute (5+h) for x above:
g%285%2Bh%29+=+%285%2Bh%29%5E2-3%285%2Bh%29%2B2 Simplify.
g%285%2Bh%29+=+25%2B10h%2Bh%5E2-15-3h%2B2 Combine like-terms.
g%285%2Bh%29+=+h%5E2%2B%2810h-3h%29%2B%2825-15%2B2%29
g%285%2Bh%29+=+h%5E2%2B7h%2B12