Inverse of linear function.

Inverse of Linear Function.

​Done by Hamda Sultan.

​Finding inverse Function.

​𝑓(𝑥)=5𝑥+10

​Step 1 (Replace 𝑓(𝑥) with 𝑦).

​𝑦=5𝑥+10

​Step 2 (Replace 𝑦 and 𝑥).

​𝑥=5𝑦+10

​Step 3 (Solve foy 𝑦).

Multiple Choice

Find the inverse : $$f\left(x\right)=8x-5$$

• $$f^{-1}\left(x\right)=\frac{x+5}{8}$$

• $$y=\frac{x+5}{8}$$

• $$f^{-1}\left(x\right)=\frac{x+8}{5}$$

• $$f^{-1}\left(x\right)=5x+8$$

Multiple Choice

Find the inverse : $$f\left(x\right)=6\left(x+7\right)\$$

• $$y=\frac{1}{6}x-7$$

• $$f^{-1}\left(x\right)=\frac{1}{6}x-7$$

• $$f^{-1}\left(x\right)=\frac{1}{42}x-6$$

• $$f\left(x\right)=\frac{1}{6}x-7$$

Multiple Select

Find the inverse : $$f\left(x\right)=\frac{3}{4}x+9$$

• All of the above.

• $$f^{-1}\left(x\right)=\frac{4}{3}\left(x-9\right)$$

• $$f^{-1}\left(x\right)=\frac{4}{3}x-12$$

• $$y=\frac{3}{4}x-12$$

Multiple Choice

Find inverse : $$f\left(x\right)=-16+\frac{2}{5}x$$

• $$f\left(x\right)=\frac{5}{2}x-40$$

• $$f^{-1}\left(x\right)=\frac{5}{2}x+40$$

• $$f\left(x\right)=\frac{5}{2}x+40$$

• $$f^{-1}\left(x\right)=\frac{5}{2}x-40$$

Multiple Choice

Find the inverse : $$f\left(x\right)=\frac{3x+5}{4}$$

• $$f^{-1}\left(x\right)=\frac{4x-5}{3}$$

• $$f\left(x\right)^{-1}=\frac{5x}{3}$$

• $$f\left(x\right)=5x-3$$

• $$f^{-1}\left(x\right)=\frac{4x-3}{4}$$

Multiple Choice

Find the inverse : $$f\left(x\right)=\frac{-4x+1}{5}$$

• $$y=-\frac{5}{4}x+\frac{1}{4}$$

• $$f^{-1}\left(x\right)=-\frac{5}{4}x+\frac{1}{4}$$

• $$f^{-1}\left(x\right)=\frac{4x-5}{7}$$

• $$f^{-1}\left(x\right)=\frac{-4x-6}{5}$$