Question

Perform the requested operation or operations.

f(x) =x-3/5 ; g(x) = 5x + 3, find g(f(x)).

Answer 1

all this means is instead of x in g(x) you need to replace it with

x - 3/5

so you are looking at

\[g(\frac{x - 3}{5}) = 5(\frac{x -3}{5}) + 3\]

just distribute and collect liek terms in g(x)

hope this helps

Answer 2

$$
f(x) =\color{red}{\frac{x-3}{5}}\\
g(x) = 5x + 3\\
g(f(x)) = 5\pmatrix{\color{red}{\frac{x-3}{5}}} + 3
$$

Answer 3

=3/5

Answer 4

f(g(x))=x-3/5

Answer 5

not quite

distribute and you get

\[g(\frac{x -3}{5}) = 5 \times \frac{1}{5} (x - 3) + 3\]

so you have

\[g(\frac{x -3}{5}) = x - 3 + 3\]

just finish it off

Answer 6

f(g(x))=x+6

Answer 7

nope just be careful with the signs

-3 + 3 = 0

so what are you left with..?

Answer 8

$$
f(x) =\frac{x-3}{5}\\
g(x) = \color{red}{5x + 3}\\
f(g(x)) = \frac{(\color{red}{5x + 3})-3}{5}
$$

Answer 9

Oh, poop...Thank you so much! I always forget the signs

Answer 10

glad to help