Question

If f(x)=5x-25 and g(x)=1/5x+5, which expression could be used to verify g(x) is the inverse of f(x)?

Answer 1

we know that

if g(x) is the inverse of f(x)

then

g[f(x)]=x

so

$f(x)=5x-25$

$g(x)=\frac{1}{5}x+5$

$g(f(x))=\frac{1}{5} [5x-25]+5$ ------> this is the expression

$g(f(x))=x-5+5\\ g(f(x))=x$

therefore

the answer is the option

b) 1/5(5x-25)+5

Answer 2

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The  expression could be used to verify g(x) is the inverse of f(x) is letter b which is 1/5(5x-25)+5