Given the function f(x)=-5+4x^2 calculate the following value:
f(a+h)
Please help ASAP!!! :(
x is just a place holder. You can replace it with whatever value you wish.
f(2) = -5 + 4*2^2 = 11
f(a+h) = -5 + 4(a+h)^2
wherever you see an x in f(x), simply replace it with a+h
f(x+h) = -5 + 4(x+h)^2
= -5 + 4(x^2 + 2hx + h^2)
= .....
I will let you finish it
go with oobleck, I typed x+h instead of a+h
To calculate the value of f(a+h), we need to substitute the expression a+h into the function f(x) and simplify it.
Step 1: Substitute a+h into the function f(x)
f(a+h) = -5 + 4(a+h)^2
Step 2: Simplify the expression inside the parentheses
(a+h)^2 = (a+h)(a+h) = a^2 + 2ah + h^2
Step 3: Substitute the simplified expression into the function f(x)
f(a+h) = -5 + 4(a^2 + 2ah + h^2)
Step 4: Simplify the expression inside the brackets
f(a+h) = -5 + 4a^2 + 8ah + 4h^2
So, the value of f(a+h) is -5 + 4a^2 + 8ah + 4h^2.
It is important to note that this is the simplified expression for f(a+h), which cannot be further simplified unless you have specific values for a and h.