If f(x)=x+5,g(x)=1-2x, h(x)=x-2 find fog, foh, goh, gof, hof​

The answer is below

Step-by-step explanation:

Function is a rule, or law that defines the relationship between one variable (the independent variable) and another variable (the dependent variable)

a) fog = f[g(x)] = f(1 - 2x) = 1 - 2x + 5 = 6 - 2x

b) foh = f[h(x)] = f(x - 2) = x - 2 + 5 = x + 3

c) goh = g[h(x)] = g(x - 2) = 1 - 2(x - 2) = 1 - 2x + 4 = 5 - 2x

d) gof = g[f(x)] = g(x + 5) = 1 - 2(x + 5) = 1 - 2x - 10 = 9 - 2x

e) hof = h[f(x)] = h(x + 5) = x + 5 - 2 = x + 3

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step-by-step explanation:

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