Question

For the function f(x) = 7x-x^2 find each of the following;

a) f(t-4)
b) f(p + 4)
c) f(a+h) - f(a)
d) f(t-1)+c
e) f(a) + 8

Answer 1

Explanation:

in the expression f(x), x is just a place holder. It can be replaced with any value you choose.

f(t-4) = 7(t-4) - (t-4)^2

f(p+4) = 7(p+4) - (p+4)^2

f(a+h)-f(a) = 7(a+h)^2 - (a+h)^2 - (7a-a^2)

f(t-1)+c = 7(t-1) - (t-1)^2 + c

f(a)+8 = 7a - a^2 + 8

you can simplify these some