Question

if f(x)=2x and g(x)=x+1, find gof(x) and fog(x).

Answer 1

Answer:

i) gof(x) = 2x+1

i) gof(x) = 2x+1ii) fog(x)=2(x+1)

Step-by-step explanation:

Given f(x)=2x ---(1)

g(x) = x+1 -------(2)

i) gof(x)

= g[f(x)]

= g(2x) \* From (1) *\

= 2x+1 \* From (2) *\

ii) fog(x)

= f[g(x)]

= f(x+1) /* From (2) */

= 2(x+1) /* From (1)*/

Therefore,

i) gof(x) = 2x+1

ii) fog(x)=2(x+1)

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