Let F(x)=#x^2+3# , evaluate the following?

Question

Ask for:
a). F(a)-1
b). F(a-1)
c).F(d+e)

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Answer 1 · 2018-02-22T05:39:44

Refer to the explanation.

#a).# Evaluate #F(a)-1#

So, we have the function #F(x)=x^2+3#. If we replace the #x# with #a#, we just need to put #x=a#, and we get

#F(a)=a^2+3#

and

#F(a)-1=a^2+3-1#

#=a^2+2#

#b).# Evaluate #F(a-1)#

Same procedure, we take #x=a-1#, and we get

#F(a-1)=(a-1)^2+3#

#=a^2-2a+1+3#

#=a^2-2a+4#

#c).# Evaluate #F(d+e)#

Again, we put #x=d+e# into the function, and we get

#F(d+e)=(d+e)^2+3#

#=d^2+2de+e^2+3#