If f(x)=x^2 +5 and g(x)=5x+4, what is the [fg](6)

Hello from MrBillDoesMath!

1161

Discussion:

g(6) = 5(6) =4 = 30 + 4 = 34

so

f(g(6) = f (34) = 34^2 + 5 = 1156 + 5 = 1161

Regards,  

MrB

1/2*qr*rs

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct