If a and h are real numbers find the following values for th

If a and h are real numbers, find the following values for the given function. f(x) = 10 x2 (a) f(a) (b) f(a) (c) f(a) (d) f(a + h) (e) f(a) + f(h)

Solution

Given f(x) =10 -x^2

a) we have to find f(a)

we will substitute x =a

f(a) = 10 - a^2

b) for f(-a) we will substitute x =-a

f(-a) = 10 -(-a)^2

f(-a) =10 -a^2

f(-a) =f(a) =10 -a^2

c) -f(a) =-(10 -a^2)

- f(a) = a^2 -10

d) f(a+h) = 10 -(a+h)^2

f(a+h) =10 -(a^2 +h^2 +2ah)

f(a+h) = 10 -a^2 -h^2 -2ah

e) f(a) +f(h) = (10 -a^2) +(10 -h^2)

f(a) +f(h) = 20 -a^2 -h^2

Thank yiu