Question

G(x)=3x+2 and h(x)=ax+B

Answer 1

Answer:

B= $\frac{3}{-2}$

a= $\frac{11}{2}$

Step-by-step explanation:

$g^{-1}$= $\frac{x-2}{3}$  (g of -1 formula)

$g^{-1}$(14)= $\frac{14-2}{3}$

          = $\frac{12}{3}$

         = 4

h(x)=ax + B

h(1)= a+ B

$g^{-1}$(14)=h(1)

4=a + B

a= 4-B

h(4)=22

4a+B=22

4(4-B)=22

16-4B=22

-4B=6

B= $\frac{6}{-4}$

B= $\frac{3}{-2}$

a= 4+$\frac{3}{2}$

 a= $\frac{8+3}{2}$

a= $\frac{11}{2}$