Question

math problem

Answer 1

@florisalreadytaken

Answer 2

@snowflake0531

Answer 3

\[ f(x)= \log_7 (x) \]

1) strech vertically by four
2) shifted to the left by five units
3) shifted down by three units

1) \( g(x)= \log_7 (x) \Rightarrow g(x)= \color{tomato}{4} \times \log_7 (x) \)

2) \( g(x)= 4 \times \log_7 (x) \Rightarrow g(x)= 4 \times \log_7 (x\color{lightskyblue}{+5}) \)

3) \( g(x)= 4 \times \log_7 (x+5) \Rightarrow g(x)= 4 \times \log_7 (x+5) \color{lime}{-3} \)

thus, the final answer is:

\[ \Large g(x)= \color{tomato}{4} \times \log_7 (x\color{lightskyblue}{+5}) \color{lime}{-3} \]

Answer 4

thanks

Answer 5

you got it