MATH SOLVE

3 months ago

Q:
# Let f(x) = x^2-6 and g(x) =10x . Find (g ° f)(x)

Accepted Solution

A:

Answer:[tex](g \circ f)(x)=10x^2-60[/tex]Answer:[tex]10x^2-60[/tex]Step-by-step explanation:[tex](g \circ f)(x)=g(f(x))[/tex]Replace [tex]f(x)[/tex] with [tex]x^2-6[/tex].This gives us:[tex](g \circ f)(x)=g(f(x))[/tex][tex](g \circ f)(x)=g(x^2-6)[/tex]This means to replace the old input variable with new input, [tex](x^2-6)[/tex].Let's do that:[tex](g \circ f)(x)=10(x^2-6)[/tex]They probably want you to distribute:[tex](g \circ f)(x)=10x^2-60[/tex]