Composite Functions

Find f(g(x)) and g(f(x)) and f(f(x)) for the functions below

f(f(x))=

g(fx))=

f(g(x))=

f(g(x))=

g(f(x))=

f(f(x))=

Reveal Answer

Next Question

a_2 = Random(-9, 9)
c_1 = Random(0, 1)
b_1 = Random(2, 9)
c_2 = If(c_1 ≟ 0, cos((b_1 * x)), sin((b_1 * x)))
c_3: c_2
b_3 = Random(-9, 9)
b_2 = Random(2, 9)
a_0 = Random(2, 5)
a_1 = Random(2, 9)
f(x) = (a_1 * x^(a_0)) + a_2
g(x) = (2 * x) + 1
h(x) = f(g(x))
a_3 = Random(1, 9)
i(x) = g(f(x))
k: c_3
j: false
b_0 = Random(2, 5)
l(x) = (b_2 * x^(b_0)) + b_3
m(x) = k(l(x))
n(x) = l(k(x))
text3: "f(x)=" + (LaTeX[f]) + ""
text4: "g(x)=" + (LaTeX[g]) + ""
text5: "f(x)=" + (LaTeX[k]) + ""
text6: "g(x)=" + (LaTeX[l]) + ""
o(x) = f(f(x))
text8: "" + (LaTeX[i]) + ""
text7: "" + (LaTeX[h]) + ""
text12: "" + (LaTeX[o]) + ""
text16: "" + (LaTeX[m]) + ""
text17: "" + (LaTeX[n]) + ""
p(x) = k(k(x))
text18: "" + (LaTeX[p]) + ""