1.1 intro to functions\nscore: 8/10 6/8 answered\nquestion 7\nfor the function $f(x)=x^2 - 36$, evaluate…

1.1 intro to functions\nscore: 8/10 6/8 answered\nquestion 7\nfor the function $f(x)=x^2 - 36$, evaluate $f(x+h)$.\n$f(x+h)=$\nquestion help: video message instructor

1.1 intro to functions\nscore: 8/10 6/8 answered\nquestion 7\nfor the function $f(x)=x^2 - 36$, evaluate $f(x+h)$.\n$f(x+h)=$\nquestion help: video message instructor

Answer

Explanation:

Step1: Substitute $x+h$ for $x$

$f(x+h) = (x+h)^2 - 36$

Step2: Expand the squared binomial

$(x+h)^2 = x^2 + 2xh + h^2$

Step3: Substitute back and simplify

$f(x+h) = x^2 + 2xh + h^2 - 36$

Answer:

$x^2 + 2xh + h^2 - 36$