Question

what is the value of f(0) for the function...

Answer 1

\[\log_{10} 10+9^{x}+(x-2)(x-1)\]

Answer 2

do you mean ?
\[f(x)=\log_{10} (10+9^x+(x-1)(x-2))\]

Answer 3

hmm... no thats not how it asked me but could it have been meant that way?

Answer 4

you answer by replace x with 0 in your expression

Answer 5

\[ \log_{10} 10+9^{0}+(0-2)(0-1) \]

let's do the easy part: what is 0-2 ?
what is 0-1 ?

Answer 6

\[\log_{10} 10+9^0(-2)(-1)\]

Answer 7

I hope you mean
\[ \log_{10} 10+9^{0}+(0-2)(0-1)\\ \log_{10} 10+9^{0}+-2\cdot -1
\]

Answer 8

yes

Answer 9

next, what is -2*-1 ?

Answer 10

2

Answer 11

so we now have
\[ \log_{10} 10+9^{0}+ 2 \]

next: any number (except 0) raised to the "0 power"
is 1.
using that rule, what is 9^0 ?

Answer 12

1

Answer 13

so
\[ \log_{10} 10+1+2 \\ \log_{10} 10+3 \]

Answer 14

I assume you don't know the log base ten of 10 ?
log means "what exponent"
base ten to "what exponent" is 10 ?
10^x = 10
what is x ?

Answer 15

you should know
10^0 = 1
10^1 = 10
10^2 = 100

Answer 16

so \[\log_{10} 10\]
equals to 1?

Answer 17

yes. If you have a calculator and try log 10
you should get 1

so we now have
1+3

Answer 18

ok got it