Question

I need help with this problemGiven:f(x)=5x+3 and g(x)=x to the power of 2, find (g.f)(2)

Answer 1

Solution:

Given the functions below;

$\begin{gathered} f(x)=-5x+3 \\ g(x)=x^2 \end{gathered}$

Where

$(g\circ f)(x)=(-5x+3)^2$

Where, x = 2,

Substitute 2 for x into the composite function above

$\begin{gathered} (g\circ f)(2)=(-5(2)+3)^2=(-10+3)^2=(-7)^2=49 \\ (g\circ f)(2)=49 \end{gathered}$

Hence, the answer is 49