Chapter 5 - Exponential and Logarithmic Functions - 5.3 One-to-One Functions; Inverse Functions - 5.3 Assess Your Understanding - Page 282: 98

(a) $-\frac{14}{3}$, $(-1,-\frac{14}{3})$. (b) $3$, $(3,122)$.

(a) Given $g(x)=5^x-3$, we have $g(-1)=5^{-1}-3=-\frac{14}{3}$ which gives a point $(-1,-\frac{14}{3})$. (b) For $g(x)=122$, we have $5^x-3=122$ or $5^x=125=5^3$, which gives $x=3$ and a point $(3,122)$.