If f(x) = 4x2 - 3x + 2, evaluate f(-1) and If f(x) = 4x + 3, evaluate f(x+h).

Question

If f(x) = 4x2 - 3x + 2, evaluate f(-1) and If f(x) = 4x + 3, evaluate f(x+h).

 

Please post steps by steps and explanation how you get answer.

Answer 1

f(x) = 4x² - 3x + 2

f(-1) = 4(-1)² - 3(-1) + 2    substitute

You can simplify

 

f(x) = 4x + 3

f(x+h) = 4(x + h) +3         substitute

Distribute and simplify

Answer 2

f(x) = 4x² - 3x + 2      Now replace x with -1.

f(-1) = 4(-1)² -3(-1) + 2

f(-1) = 4 + 3 + 2 

f(-1) = 9

 

 

f(x) = 4x + 3         Now replace x with x + h.

f(x+h) = 4(x+h) + 3 = 4x + 4h + 3