Question

Given that f(x) = 4x − 3 and g(x) = quantity of 2x minus 1, divided by 3 solve for g(f(2)).

Answer 1

choices are:
1

3

9

15

Answer 2

to find g(f(2))
first find f(2)

f(x) is "short" for 4x-3

f(2) means use the formula 4x-3 but with x replaced with a 2
(and 4x means 4*x)

can you find f(2) ?

Answer 3

it would be 6... right?

Answer 4

f(2) means 4*2 - 3
what do you get when you simplify that ?

Answer 5

what is 2 times 4 ?
and then subtract 3

Answer 6

I meant 5 lol.

Answer 7

ok, now you know f(2) is 5

that means g( f(2) ) is the same as g(5)

now we do the same thing, but use the formula for g
\[ g(x) = \frac{2x-1}{3} \]
can you find g(5) ?

Answer 8

remember g(5) means replace x with 5:
\[ g(5) = \frac{2\cdot 5 - 1 }{3} \]

what is 2 times 5 ?
then subtract 1
that will be the "top"

all divided by 3

Answer 9

3

Answer 10

yes, g(5) is (10-1)/3 = 9/3 = 3