Question

If f(x) = x2 and g(x) = 1

2x + 3 , find g(f(-1))

Answer 1

Plug in -1 into the f(x) equation

Answer 2

First you have to find (f-1) = \(-1^2\)

Answer 3

After that, the value of (f-1), you put for x in g(x)

Answer 4

1/2x+3

Answer 5

that's for g right?

Answer 6

yes , 1 was over 2x+3

Answer 7

\(\dfrac{1}{2}x+3\)

like that?

Answer 8

no 1 over 2x+3

Answer 9

\(\dfrac{1}{2x+3}\)

Answer 10

is that how it looks?

Answer 11

yes

Answer 12

Alright

first find f(-1) = \(-1^2\) = ?

Answer 13

do you get the idea that f(x) is the name of a "rule"
and in this case the rule is x^2 (which means x*x)
and that means: if you are old x is -1, then using the rule f(x)
means do -1*-1
and that is what f(-1) is

Answer 14

once you know what f(-1) is (as a number)
you can do g( whatever number f(-1) is)
and g is a different rule.