Mohon bantuan nya yaaa guyss ​

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Mohon bantuan nya yaaa guyss ​

Mohon bantuan nya yaaa guyss ​

f(x)=x-5\g(x)=2x-1

a)

(g,o,f)(x)=g(f(x))\\(g,o,f)(x)=g(x-5)\\(g,o,f)(x)=2(x-5)-1\\(g,o,f)(x)=2x-10-1\\(g,o,f)(x)=2x-11

Invers

(g,o,f)(x)=2x-11\\y=2x-11\\2x=y+11\\x=frac{y+11}{2}\\(g,o,f)^{-1}(x)=frac{x+11}{2}

b)

(f,o,g)(x)=f(g(x))\\(f,o,g)(x)=f(2x-1)\\(f,o,g)(x)=(2x-1)-5\\(f,o,g)(x)=2x-6

Invers

(f,o,g)(x)=2x-6\\y=2x-6\\2x=y+6\\x=frac{y+6}{2}\\(f,o,g)^{-1}(x)=frac{x+6}{2}

c)

(f,o,g)^{-1}(x)=frac{x+6}{2}\\(f,o,g)^{-1}(3)=frac{3+6}{2}\\(f,o,g)^{-1}(3)=frac{9}{2}

d)

(g^{-1},o,f^{-1})(x)=(f,o,g)^{-1}(x)\\(g^{-1},o,f^{-1})(x)=frac{x+6}{2}