SOLUTION: Let f(x)=x^2−3, evaluate the following. a. f(a)+3=    b. f(a+3)=     c. f(g+b)=

Algebra ->  Functions -> SOLUTION: Let f(x)=x^2−3, evaluate the following. a. f(a)+3=    b. f(a+3)=     c. f(g+b)=       Log On


   

Question 1040028: Let f(x)=x^2−3, evaluate the following.
a. f(a)+3=   
b. f(a+3)=    
c. f(g+b)=

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Part A


f%28x%29+=+x%5E2+-+3


f%28a%29+=+a%5E2+-+3 Replace every copy of 'x' with 'a'


f%28a%29%2B3+=+a%5E2+-+3%2B3 Add 3 to both sides


f%28a%29%2B3+=+a%5E2 Combine like terms


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Part B


f%28x%29+=+x%5E2+-+3


f%28a%2B3%29+=+%28a%2B3%29%5E2+-+3 Replace every copy of 'x' with 'a+3'


f%28a%2B3%29+=+a%5E2%2B6a%2B9+-+3 Expand out %28a%2B3%29%5E2


f%28a%2B3%29+=+a%5E2%2B6a%2B6 Combine like terms


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Part C


f%28x%29+=+x%5E2+-+3


f%28g%2Bb%29+=+%28g%2Bb%29%5E2+-+3 Replace every copy of 'x' with 'g+b'


f%28g%2Bb%29+=+g%5E2%2B2gb%2Bb%5E2+-+3 FOIL out %28g%2Bb%29%5E2