Question

Find (g o f)(3) f(x)= 3x-2 g(x)=x^2

Answer 1

`(g\circ f)(x)=g(f(x))\\\\\text{We have}\ f(x)=3x-2\ \text{and}\ g(x)=x^2.\ \text{Substitute:}\\\\(g\circ f)(x)=(3x-2)^2\\\\(g\circ f)(3)\to \text{put the value of x = 3 to the equation of the function}\\\\(g\circ f)(3)=(3\cdot3-2)^2=(9-2)^2=(7)^2=7\cdot7=49\\\\Answer:\ \boxed{(g\circ f)(3)=49}`