Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

If $f(x+2)=g^{-1}(x+1)$ value of $f \circ g (1) = ?$

View step-by-step help

View step-by-step help

Simplify exponential expressions using exponent rules

Full solution

Q. If

f(x+2)=g^{-1}(x+1)

value of

f \circ g (1) = ?

Find $g(1)$ : First, we need to find $g(1)$ since we're looking for $f(g(1))$ .
Use $f(x+2) = g^{-1}(x+1)$ : Since we don't have $g(x)$ directly, we use the given $f(x+2) = g^{-1}(x+1)$ . This means $g^{-1}(1+1)$ should give us the $x+2$ that we can plug into $f$ .
Stuck at $g(1)$ : So, $g^{-1}(2) = x+2$ . But we need $g(1)$ , not $g^{-1}(2)$ . We're kinda stuck here, aren't we?

More problems from Simplify exponential expressions using exponent rules

Question

\newline

2^2 =

Posted 2 months ago

Question

Evaluate. Write your answer as a fraction or whole number.

\newline

(\frac{1}{4})^4

Posted 2 months ago

Question

Which is equal to

9^{-61}

\newline

\newline

\frac{1}{(-9)^{-61}}

\newline

(-9)^{-61}

\newline

(-9)^{61}

\newline

\frac{1}{(9^{61})}

Posted 1 month ago

Question

\newline

Express your answer using positive exponents.

\newline

r^5 \cdot r^8

Posted 2 months ago

Question

Simplify. Express your answer using a single exponent.

\newline

(h^2)^6

\newline

Posted 1 month ago

Question

Simplify. Express your answer using positive exponents.

\newline

(9p^5)(5p^8)

\newline

Posted 2 months ago

Question

Simplify. Express your answer using positive exponents.

\newline

(2v^3)(4v)(5v)

\newline

Posted 2 months ago

Question

Simplify. Express your answer using a single exponent.

\newline

(5z^8)^2

\newline

Posted 2 months ago

Question

Simplify. Express your answer using positive exponents.

\newline

r^9 \cdot r^8 \cdot r^{\text{-}5}

\newline

Posted 2 months ago

Question

Which expression is equivalent to

6 \times 6^8

\newline

\newline

\frac{1}{6^9}

\newline

6^8

\newline

\frac{1}{6^8}

\newline

6^9

Posted 1 month ago