Question

a) (gof)(a) = g(f(a)) = g(-1) = 10)
b) (gof)(b) = g((b)) = g(-2) =
c) (gof)(c) = g(f(c)) =
d) (gof)(d) = g(f(d)) =​

Answer 1

Respuesta:

b) (gof)(b)=g((b))=g(-2)=9

C) (gof)(C)=g(f(C))=7

d) (gof)(d)=g(f(d))=7

Answer 2

Respuesta:

f(x)

f(g(x))

​  

 

=3x−1

=3(g(x))−1

​  

 

Como {{g(x)}={x^3+2}}g(x)=x  

3

+2g, left parenthesis, x, right parenthesis, equals, x, cubed, plus, 2, podemos sustituir {g(x)}g(x)g, left parenthesis, x, right parenthesis por {x^3+2}x  

3

+2x, cubed, plus, 2.

\begin{aligned}{f(g(x))}&=3(g(x))-1 \\\\ &=3({x^3+2})-1 \\\\ &=3x^3+6-1\\\\ &=3x^3+5 \end{aligned}  

f(g(x))

​  

 

=3(g(x))−1

=3(x  

3

+2)−1

=3x  

3

+6−1

=3x  

3

+5

​  

 

Esta nueva función debe convertir 333 directamente a {86}8686. Comprobémoslo.

\begin{aligned} f( g(x))&= 3x^3+5\\ \\ f( g( 3))&= 3( 3)^3+5 \\\\ &= {86} \end{aligned}  

f(g(x))

f(g(3))

​  

 

=3x  

3

+5

=3(3)  

3

+5

=86

​