Question

Given that f(x) = 2x + 1 and g(x) = -5x + 2, solve for f(g(x)) when x = 3

Answer 1

so first plug in 3 into the function of g(x)

Answer 2

so would I get f(3)=7 and g(3)=-13 ?

Answer 3

yes for the g(x) part
but f(g(x)) means to take what you got from g(x) and plug that into the function of f(x)

Answer 4

oh ok so after i got the g(3)=-13 where would i plug it into the f(x)?

Answer 5

f(x) = 2x + 1
f(g(x)) = 2(-13) + 1

Answer 6

If i had the question The function for the cost of materials to make a hat is f(x) = x + 1, where x is the number of hats. The function for the selling price of those hats is g(f(x)), where g(x) = x + 2. Find the selling price of 10 hats.. would i do the same thing?

Answer 7

if you are finding g(f(x)) then you would plug in 10 into the f(x) function first
but basically the same idea so yes :)

Answer 8

thank you :)