Question

help please!

if f(x) =x^2 +6 find and simplify the following:
a) f(t+5)
b) f(t^2+5)
c f(2)
d) 2f(t)
e (f(t))^2 +5

Answer 1

do you need the answer or the work?

Answer 2

a. t^2+10t+31
b. t^4+10t+31
c. 10
d. 2t^2+12
e. t^4+12t^2+41

Answer 3

the work too i want to understand

Answer 4

first plug n the value of x into every place where you see an x.
okay for every question factor like this:
a. F(t+5)=x^2+6
=(t+5)^2+6
=(t^2+10t+25)+6
=t^2+10t+25+6
=t^2+10t+31