Question

if f(x)=2x+3 and fog(x)=10x+1,find the value of g(x).​

Answer 1

Answer:

5x - 1

Step-by-step explanation:

fog= 10x+1

fog = f(g(x))

f(g(x)) = 2[g(x)] + 3

2[g(x)] + 3 = 10x+1

2(g(x)) = 10x + 1 -3

2(g(x)) = 10x - 2

g(x). = (10x - 2) / 2

g(x) = 10x/2 - 2/2

g(x) = 5x - 1

To Check:

fog = f(g(x))

2(5x-1) +3

= 10x-2+3

=10x-1