Question

PLZ HELP What is f[g(3)] for the following functions? f(x) = 4x2 − 3 g(x) = 5x − 2

A. f[g(3)]=13
B. f[g(3)]=163
C. f[g(3)]=363
D. f[g(3)]=673
PLZ ANSWER ASAP

Answer 1

D

Explanation:

Assuming

`f(x) = 4 {x}^(2) - 3`

and

`g(x) = 5x - 2`

We first evaluate g(x) at x=3. We get 15-2=13

Now you plug in x=13 for f(x)

you get:

`4 * {13}^(2) - 3`

Which equals 673

Answer 2

D. 673 if the functions are f(x)=4x^2-3 and g(x)=5x-2

Explanation:

f(g(3)) is what we need to find.

We start with the inside first: g(3).

g(3) means to take the expression labeled g and replace the input, the x, with 3:

5(3)-2

15-2

13

So g(3) is 13.

Let's go back to finding f(g(3)):

f(g(3))

f(13) :I replaced g(3) with 13.

f(13) means to use the expression labeled f and plug in 13 for the input, x:

4(13)^2-3

4(169)-3

676 -3

673

So f(13) is 673.

Let's go back to the problem one more time:

f(g(3))=f(13)=673.