If #g(x)=x^2+2x-3#, #h(x)=3x-5#, what is #h(a+b)#?

1 Answer
smendyka
Jun 30, 2017

See a solution process below:

Explanation:

To find #h(a + b)# you do not need the information about the function #g(x)#, this is extraneous information.

To find #h(a + b)# substitute #color(red)((a + b))# for each occurrence of #color(red)(x)# in #h(x)#:

#h(color(red)(x)) = 3color(red)(x) - 5# becomes:

#h(color(red)(a + b)) = 3(color(red)(a + b)) - 5#

#h(color(red)(a + b)) = (3 xx color(red)(a)) + (3 xx color(red)(b)) - 5#

#h(color(red)(a + b)) = 3color(red)(a) + 3color(red)(b) - 5#

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