Question

Consider the functions f(x) = 3x − 2 and g(x) = x2 − 1. What is the value of f[g(5)]?

312

70

168

−1

Answer 1

okay so
f[g(5)]
this means you start with the function g
so you do g(5)
which you know is substituting x=5 into the function g
once you do this
you will have
f(g)
g is the value you get from the function g after substituting x=5
you would substitute that value into f

Answer 2

so f+g
3(5)-2=13
(5)2-1=9

Answer 3

13-9=4

Answer 4

???

Answer 5

When you wrote "x2 - 1" for g(x), did you switch the order of x and 2 or is g(x) = x^2 + 1? Is x squared?

Answer 6

squared

Answer 7

3(5)-2=13
(5)2-1=24

Answer 8

OK. Then as amorfide said, first substitute 5 for x in x^2 - 1 to get the value of g(x). But the you are supposed to to use g(5) = 24 for the value passed to f(x), in f(g(5)) the x will be equal to g(5).

Answer 9

??

Answer 10

the x in each function represents the value passed to the equation. x is not the same value for each. For g(x) x = 5, but for f(g(x)) the x in f(x), x = g(5).