Question

Pls!! f(x)=√x+2 and g(x)=9x−4 f(g(x))= f(g(3))= show work pls thank uu

Answer 1

Answer:

• Find $f(g(x))$ by substituting the entire g(x) function for x in f(x)

• $f(x)=\sqrt{x} +2\\f(g(x))=\sqrt{(9x-4)} +2$ that's the answer
• Then f(g(3)) is just putting in place of x in our new equation
• $f(g(x))=\sqrt{(9x-4)} +2\\f(g(3))=\sqrt{(9(3)-4)} +2\\f(g(3))=\sqrt{(27-4)} +2\\f(g(3))=\sqrt{(23)} +2\\f(g(3))=6.80$  rounded to 2 decimal places