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Alexus [3.1K]
2 years ago
11

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

Mathematics
1 answer:
AfilCa [17]2 years ago
3 0

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}

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