This it to study for a test

Question

F(x)= 4x²+1

G(x)= x²-6

Find f(g(5))

Answer 1

In order to find f(g(5)), we need to find g(5), then solve for f of that value.

So first, let's solve for g(5) by plugging in 5 for x in the g(x) function.

g(x) = x² - 6

g(5) = (5)² - 6

g(5) = 25 - 6 = 19

Now, we need to find f(19). So let's solve that by plugging in 19 for x in the f(x) function.

f(x) = 4x² + 1

f(19) = 4(19)² + 1

f(19) = 4(361) + 1 = 1444 + 1 = 1445

I hope that made it easier to understand, and if you have any confusion or need a review session before your test definitely send me a message!

Answer 2

This is a functions problem. Always do the most inside part first. So, we need to find g(5) first. We plug in 5 for x in the g function.

G(x)= x² - 6

G(5)= (5)² - 6

= 25 - 6

g(5) = 19

Now, find f(19). So, we plug in 19 for x in the f function.

F(19)= 4(19)²+1. Do the exponent part first

= 4 (361) + 1

= 1444 + 1

F(19) = 1445

I hope that helped! If you need any last minute tutoring to prepare for your test please reach out to me! I’m a certified special education math high school teacher and have availability. I’m happy to help!