Mathematics OpenStudy (grant330sims):

If f(x) = 5x – 3, then what is f*–1(x) ? OpenStudy (jamesj):

Write the equation $y = f(x) = 5x - 3$ Now solve for $$x = g(y)$$. The function $$g$$ is the inverse function $$f^{-1}$$. OpenStudy (jamesj):

Hence in this case, $y = 5x - 3$ $5x = y + 3$ $x = g(y) = \frac{1}{5}(y+3)$ In other words, the inverse function is ... OpenStudy (jamesj):

$f^{-1}(x) = \frac{1}{5}(x+3)$ OpenStudy (jamesj):

You should verify this now by showing that $f(f^{-1}(x)) = x$ and $f^{-1}(f(x)) = x$ OpenStudy (anonymous):

$f^{-1}(5x-3)=x$ Let $y=5x-3$ then find x in terms of y and sub back to the 1st equation.

Latest Questions JeliseWh05: What are the main similarities and differences between fascism and communism?
27 minutes ago 1 Reply 0 Medals JeliseWh05: What are the main similarities and differences between fascism and communism?
58 minutes ago 0 Replies 0 Medals emilybethch: Identify the layers of the Sun's interior based on the brief descriptions provided.
1 hour ago 1 Reply 0 Medals emilybethch: Explain the difference between physical activity and exercise.
1 hour ago 0 Replies 0 Medals abbyadams: Which expression demonstrates the use of the commutative property of addition in
1 hour ago 0 Replies 0 Medals russianmafiya: https://strawpoll.com/wv3rw9527 it is multiple choice
1 hour ago 1 Reply 0 Medals russianmafiya: https://strawpoll.com/wbcfhgf1j
2 hours ago 5 Replies 0 Medals emilybethch: what's the right answer?
2 hours ago 4 Replies 0 Medals emilybethch: Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race.
2 hours ago 3 Replies 0 Medals emilybethch: The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.
3 hours ago 0 Replies 0 Medals