We read your photo as:

Find the inverse of the function f(x) = 2x + 3.

April 13, 2026Mathematics

ScanSolve AI Answer

Answer

f^{-1}(x) = \frac{x - 3}{2}

Graph of f(x) = 2x + 3

Key points of f(x) = 2x + 3
Point	x	y
x-intercept	−1.5	0
y-intercept	0	3

4 steps

Set $y$ equal to $f(x)$ .
$y = 2x + 3$
Swap $x$ and $y$ to find the inverse function.
$x = 2y + 3$
Solve the equation for $y$ .
Subtract 3 from both sides:
$x - 3 = 2y$
Divide by 2:
$y = \frac{x - 3}{2}$
Replace $y$ with $f^{-1}(x)$ .
$f^{-1}(x) = \frac{x - 3}{2}$

Was this helpful?

A new problem that tests the same skill.

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question